1 10000000 17 10010000 33 10100000 49 10110000 65 11000000 81 11010000 97 11100000 113 11110000
2 10000001 18 10010001 34 10100001 50 10110001 66 11000001 82 11010001 98 11100001 114 11110001
3 10000010 19 10010010 35 10100010 51 10110010 67 11000010 83 11010010 99 11100010 115 11110010
4 10000011 20 10010011 36 10100011 52 10110011 68 11000011 84 11010011 100 11100011 116 11110011
5 10000100 21 10010100 37 10100100 53 10110100 69 11000100 85 11010100 101 11100100 117 11110100
6 10000101 22 10010101 38 10100101 54 10110101 70 11000101 86 11010101 102 11100101 118 11110101
7 10000110 23 10010110 39 10100110 55 10110110 71 11000110 87 11010110 103 11100110 119 11110110
8 10000111 24 10010111 40 10100111 56 10110111 72 11000111 88 11010111 104 11100111 120 11110111
9 10001000 25 10011000 41 10101000 57 10111000 73 11001000 89 11011000 105 11101000 121 11111000
10 10001001 26 10011001 42 10101001 58 10111001 74 11001001 90 11011001 106 11101001 122 11111001
11 10001010 27 10011010 43 10101010 59 10111010 75 11001010 91 11011010 107 11101010 123 11111010
12 10001011 28 10011011 44 10101011 60 10111011 76 11001011 92 11011011 108 11101011 124 11111011
13 10001100 29 10011100 45 10101100 61 10111100 77 11001100 93 11011100 109 11101100 125 11111100
14 10001101 30 10011101 46 10101101 62 10111101 78 11001101 94 11011101 110 11101101 126 11111101
15 10001110 31 10011110 47 10101110 63 10111110 79 11001110 95 11011110 111 11101110 127 11111110
16 10001111 32 10011111 48 10101111 64 10111111 80 11001111 96 11011111 112 11101111 128 11111111
1 00000000 17 00010000 33 00100000 49 00110000 65 01000000 81 01010000 97 01100000 113 01110000
2 00000001 18 00010001 34 00100001 50 00110001 66 01000001 82 01010001 98 01100001 114 01110001
3 00000010 19 00010010 35 00100010 51 00110010 67 01000010 83 01010010 99 01100010 115 01110010
4 00000011 20 00010011 36 00100011 52 00110011 68 01000011 84 01010011 100 01100011 116 01110011
5 00000100 21 00010100 37 00100100 53 00110100 69 01000100 85 01010100 101 01100100 117 01110100
6 00000101 22 00010101 38 00100101 54 00110101 70 01000101 86 01010101 102 01100101 118 01110101
7 00000110 23 00010110 39 00100110 55 00110110 71 01000110 87 01010110 103 01100110 119 01110110
8 00000111 24 00010111 40 00100111 56 00110111 72 01000111 88 01010111 104 01100111 120 01110111
9 00001000 25 00011000 41 00101000 57 00111000 73 01001000 89 01011000 105 01101000 121 01111000
10 00001001 26 00011001 42 00101001 58 00111001 74 01001001 90 01011001 106 01101001 122 01111001
11 00001010 27 00011010 43 00101010 59 00111010 75 01001010 91 01011010 107 01101010 123 01111010
12 00001011 28 00011011 44 00101011 60 00111011 76 01001011 92 01011011 108 01101011 124 01111011
13 00001100 29 00011100 45 00101100 61 00111100 77 01001100 93 01011100 109 01101100 125 01111100
14 00001101 30 00011101 46 00101101 62 00111101 78 01001101 94 01011101 110 01101101 126 01111101
15 00001110 31 00011110 47 00101110 63 00111110 79 01001110 95 01011110 111 01101110 127 01111110
16 00001111 32 00011111 48 00101111 64 00111111 80 01001111 96 01011111 112 01101111 128 01111111
all bust will take 32678 options (for each of the first part of the table, each of the two parts), if we take variants with 8 zeros would need 6435 options, less than five times.
it remains to determine how many zeros will be in 57.. somehow he's there for a cunning less than 2^x from a higher 2^x takes away pieces..
- 2^x remainder
11111111111111111111110000000000000000000000000000000000 72057576858058752 72057594037927936 17179869184
1111111111111111111111110000000000000000000000000000000 36028794871480320 36028797018963968 2147483648
111111111111111111111110000000000000000000000000000000 18014396361998336 18014398509481984 2147483648
11111111111111111111111111111000000000000000000000000 9007199237963776 9007199254740992 16777216
1111111111111111111111000000000000000000000000000000 4503598553628672 4503599627370496 1073741824
111111111111111111111111111111111000000000000000000 2251799813423104 2251799813685248 262144
11111111111111111111111111000000000000000000000000 1125899890065408 1125899906842624 16777216
1111111111111111111111110000000000000000000000000 562949919866880 562949953421312 33554432
111111111111111110000000000000000000000000000000 281472829227008 281474976710656 2147483648
11111111111111111111111000000000000000000000000 140737471578112 140737488355328 16777216
1111111111111111111111111110000000000000000000 70368743653376 70368744177664 524288
111111111111111111111111110000000000000000000 35184371564544 35184372088832 524288
11111111111111111111110000000000000000000000 17592181850112 17592186044416 4194304
1111111111111111111000000000000000000000000 8796076244992 8796093022208 16777216
111111111111111111111110000000000000000000 4398045986816 4398046511104 524288
11111111111111111111000000000000000000000 2199021158400 2199023255552 2097152
1111111111111111110000000000000000000000 1099507433472 1099511627776 4194304
111111111111111111100000000000000000000 549754765312 549755813888 1048576
11111111111111111111100000000000000000 274877775872 274877906944 131072
1111111111111100000000000000000000000 137430564864 137438953472 8388608
111111111111111111100000000000000000 68719345664 68719476736 131072
11111111111111111111000000000000000 34359705600 34359738368 32768
1111111111111111110000000000000000 17179803648 17179869184 65536
111111111111111110000000000000000 8589869056 8589934592 65536
11111111111111111000000000000000 4294934528 4294967296 32768
1111111111000000000000000000000 2145386496 2147483648 2097152
111111111111110000000000000000 1073676288 1073741824 65536
11111111111110000000000000000 536805376 536870912 65536
1111111111111100000000000000 268419072 268435456 16384
111111111111100000000000000 134201344 134217728 16384
11111111111111100000000000 67106816 67108864 2048
1111111100000000000000000 33423360 33554432 131072
111111111111111000000000 16776704 16777216 512
11111111111000000000000 8384512 8388608 4096
1111111111000000000000 4190208 4194304 4096
111111111100000000000 2095104 2097152 2048
11111111110000000000 1047552 1048576 1024
1111111000000000000 520192 524288 4096
111111111111000000 262080 262144 64
11111100000000000 129024 131072 2048
1111111100000000 65280 65536 256
111111000000000 32256 32768 512
11111111100000 16352 16384 32
1111111110000 8176 8192 16
111100000000 3840 4096 256
11111110000 2032 2048 16
1111111100 1020 1024 4
111000000 448 512 64
11111000 248 256 8
1111000 120 128 8
111000 56 64 8
11000 24 32 8
1110 14 16 2
000
00
0
although even in this case the number will be impressive...