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12672497268 = 22321213290201
BaseRepresentation
bin10111100110101011…
…01111011001110100
31012201011112120011200
423303111233121310
5201423124403033
65453251332500
7626015310114
oct136325573164
935634476150
1012672497268
115413326842
122557bb1130
13126c5947c2
14883077044
154e280e013
hex2f356f674

12672497268 has 36 divisors (see below), whose sum is σ = 32059775748. Its totient is φ = 4220668800.

The previous prime is 12672497263. The next prime is 12672497281. The reversal of 12672497268 is 86279427621.

12672497268 is a `hidden beast` number, since 1 + 26 + 72 + 497 + 2 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4676918544 + 7995578724 = 68388^2 + 89418^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12672497263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101433 + ... + 188768.

Almost surely, 212672497268 is an apocalyptic number.

12672497268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12672497268 is an abundant number, since it is smaller than the sum of its proper divisors (19387278480).

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

12672497268 is a wasteful number, since it uses less digits than its factorization.

12672497268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291424 (or 291419 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 12672497268 in words is "twelve billion, six hundred seventy-two million, four hundred ninety-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1213 2426 3639 4852 7278 10917 14556 21834 43668 290201 580402 870603 1160804 1741206 2611809 3482412 5223618 10447236 352013813 704027626 1056041439 1408055252 2112082878 3168124317 4224165756 6336248634 12672497268