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12681546912 = 253244033149
BaseRepresentation
bin10111100111110000…
…10000110010100000
31012201210120022221200
423303320100302200
5201432434000122
65454213321200
7626155240656
oct136370206240
935653508850
1012681546912
115418447991
12255b036200
131271412918
14884350dd6
154e34ea5ac
hex2f3e10ca0

12681546912 has 36 divisors (see below), whose sum is σ = 36063149850. Its totient is φ = 4227182208.

The previous prime is 12681546887. The next prime is 12681546923. The reversal of 12681546912 is 21964518621.

12681546912 is a `hidden beast` number, since 1 + 26 + 81 + 546 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7265175696 + 5416371216 = 85236^2 + 73596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22016287 + ... + 22016862.

Almost surely, 212681546912 is an apocalyptic number.

12681546912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12681546912 is an abundant number, since it is smaller than the sum of its proper divisors (23381602938).

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

12681546912 is a wasteful number, since it uses less digits than its factorization.

12681546912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44033165 (or 44033154 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 12681546912 in words is "twelve billion, six hundred eighty-one million, five hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44033149 88066298 132099447 176132596 264198894 352265192 396298341 528397788 704530384 792596682 1056795576 1409060768 1585193364 2113591152 3170386728 4227182304 6340773456 12681546912