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12790968516 = 2232355304681
BaseRepresentation
bin10111110100110011…
…01011000011000100
31020000102110112011200
423322121223003010
5202143441443031
65513122502500
7631654303254
oct137231530304
936012415150
1012790968516
115474193a67
12258b804a30
13128aca4931
14894ab5964
154ece118e6
hex2fa66b0c4

12790968516 has 18 divisors (see below), whose sum is σ = 32332726062. Its totient is φ = 4263656160.

The previous prime is 12790968493. The next prime is 12790968517. The reversal of 12790968516 is 61586909721.

12790968516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11638094400 + 1152874116 = 107880^2 + 33954^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (12790968517) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 177652305 + ... + 177652376.

It is an arithmetic number, because the mean of its divisors is an integer number (1796262559).

Almost surely, 212790968516 is an apocalyptic number.

It is an amenable number.

12790968516 is an abundant number, since it is smaller than the sum of its proper divisors (19541757546).

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

12790968516 is a wasteful number, since it uses less digits than its factorization.

12790968516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355304691 (or 355304686 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 12790968516 in words is "twelve billion, seven hundred ninety million, nine hundred sixty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 355304681 710609362 1065914043 1421218724 2131828086 3197742129 4263656172 6395484258 12790968516