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12106522256 = 2417311435783
BaseRepresentation
bin10110100011001101…
…01101111010010000
31011020201120001102012
423101212231322100
5144243232203011
65321152442052
7606003512153
oct132146557220
934221501365
1012106522256
1151528a83a4
12241a549328
1311ac24cc4a
1482bc29c9a
154accb2a8b
hex2d19ade90

12106522256 has 40 divisors (see below), whose sum is σ = 25637359104. Its totient is φ = 5513402880.

The previous prime is 12106522159. The next prime is 12106522289. The reversal of 12106522256 is 65222560121.

12106522256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121065222562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709460 + ... + 726323.

Almost surely, 212106522256 is an apocalyptic number.

12106522256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12106522256 is an abundant number, since it is smaller than the sum of its proper divisors (13530836848).

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

12106522256 is a wasteful number, since it uses less digits than its factorization.

12106522256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435839 (or 1435833 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 12106522256 in words is "twelve billion, one hundred six million, five hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 8432 1435783 2871566 5743132 11486264 22972528 24408311 44509273 48816622 89018546 97633244 178037092 195266488 356074184 390532976 712148368 756657641 1513315282 3026630564 6053261128 12106522256