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12790724868 = 22323111461223
BaseRepresentation
bin10111110100110001…
…01111100100000100
31020000102000010221200
423322120233210010
5202143411143433
65513113342500
7631652240025
oct137230574404
936012003850
1012790724868
1154740379a9
12258b707a30
13128ac1aa6c
14894a50c4c
154ecdb4613
hex2fa62f904

12790724868 has 36 divisors (see below), whose sum is σ = 33375084288. Its totient is φ = 4126039920.

The previous prime is 12790724861. The next prime is 12790724887. The reversal of 12790724868 is 86842709721.

It is a happy number.

12790724868 is a `hidden beast` number, since 1 + 2 + 7 + 90 + 72 + 486 + 8 = 666.

12790724868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12790724861) 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 11 ways as a sum of consecutive naturals, for example, 5729496 + ... + 5731727.

Almost surely, 212790724868 is an apocalyptic number.

12790724868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12790724868 is an abundant number, since it is smaller than the sum of its proper divisors (20584359420).

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

12790724868 is a wasteful number, since it uses less digits than its factorization.

12790724868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11461264 (or 11461259 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 12790724868 in words is "twelve billion, seven hundred ninety million, seven hundred twenty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 11461223 22922446 34383669 45844892 68767338 103151007 137534676 206302014 355297913 412604028 710595826 1065893739 1421191652 2131787478 3197681217 4263574956 6395362434 12790724868