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12829345056 = 253411449963
BaseRepresentation
bin10111111001011000…
…00100010100100000
31020010002200020220000
423330230010110200
5202233303020211
65521013220000
7632631430233
oct137454042440
936102606800
1012829345056
115493915910
1225a0631600
131295c20548
14899c2541a
15501492656
hex2fcb04520

12829345056 has 120 divisors (see below), whose sum is σ = 41160906864. Its totient is φ = 3887671680.

The previous prime is 12829345027. The next prime is 12829345057. The reversal of 12829345056 is 65054392821.

12829345056 is a `hidden beast` number, since 128 + 29 + 3 + 450 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (12829345057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196470 + ... + 253493.

Almost surely, 212829345056 is an apocalyptic number.

12829345056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12829345056 is an abundant number, since it is smaller than the sum of its proper divisors (28331561808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12829345056 is a wasteful number, since it uses less digits than its factorization.

12829345056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449996 (or 449979 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12829345056 in words is "twelve billion, eight hundred twenty-nine million, three hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 449963 899926 1349889 1799852 2699778 3599704 4049667 4949593 5399556 7199408 8099334 9899186 10799112 12149001 14398816 14848779 16198668 19798372 21598224 24298002 29697558 32397336 36447003 39596744 43196448 44546337 48596004 59395116 64794672 72894006 79193488 89092674 97192008 118790232 129589344 133639011 145788012 158386976 178185348 194384016 237580464 267278022 291576024 356370696 388768032 400917033 475160928 534556044 583152048 712741392 801834066 1069112088 1166304096 1425482784 1603668132 2138224176 3207336264 4276448352 6414672528 12829345056