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12796332585672 = 23317162119348279
BaseRepresentation
bin1011101000110110000011…
…0110111011001011001000
31200022022120102022220002210
42322031200312323023020
53134123342120220142
643114315401025120
72460335023215336
oct272154066731310
950268512286083
1012796332585672
114093992165969
121528021a851a0
1371a8c59144bc
143234bac46b56
15172cde28649c
hexba360dbb2c8

12796332585672 has 64 divisors (see below), whose sum is σ = 33893542972800. Its totient is φ = 4012058926080.

The previous prime is 12796332585653. The next prime is 12796332585677. The reversal of 12796332585672 is 27658523369721.

12796332585672 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 2×127963325856722 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12796332585677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9012772 + ... + 10335507.

It is an arithmetic number, because the mean of its divisors is an integer number (529586608950).

Almost surely, 212796332585672 is an apocalyptic number.

12796332585672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12796332585672 is an abundant number, since it is smaller than the sum of its proper divisors (21097210387128).

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

12796332585672 is a wasteful number, since it uses less digits than its factorization.

12796332585672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19349926 (or 19349922 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 66.

The spelling of 12796332585672 in words is "twelve trillion, seven hundred ninety-six billion, three hundred thirty-two million, five hundred eighty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1621 3242 4863 6484 9726 12968 19452 27557 38904 55114 82671 110228 165342 220456 330684 661368 19348279 38696558 58044837 77393116 116089674 154786232 232179348 328920743 464358696 657841486 986762229 1315682972 1973524458 2631365944 3947048916 7894097832 31363560259 62727120518 94090680777 125454241036 188181361554 250908482072 376362723108 533180524403 752725446216 1066361048806 1599541573209 2132722097612 3199083146418 4265444195224 6398166292836 12796332585672