Search a number
-
+
12964145179374 = 234431185674217
BaseRepresentation
bin1011110010100111001101…
…0001001010101011101110
31200220100201120022220220000
42330221303101022223232
53144401032131214444
643323351315205130
72505425413555554
oct274516321125356
950810646286800
1012964145179374
114149076a85334
121554655ba67a6
1373068a62921c
1432b67a19dbd4
15177361a51469
hexbca7344aaee

12964145179374 has 40 divisors (see below), whose sum is σ = 29116688169888. Its totient is φ = 4311355295520.

The previous prime is 12964145179327. The next prime is 12964145179409. The reversal of 12964145179374 is 47397154146921.

12964145179374 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 41 + 4 + 517 + 9 + 3 + 74 = 666.

It is a super-2 number, since 2×129641451793742 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92767287 + ... + 92906930.

Almost surely, 212964145179374 is an apocalyptic number.

12964145179374 is an abundant number, since it is smaller than the sum of its proper divisors (16152542990514).

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

12964145179374 is a wasteful number, since it uses less digits than its factorization.

12964145179374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185674662 (or 185674653 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 12964145179374 in words is "twelve trillion, nine hundred sixty-four billion, one hundred forty-five million, one hundred seventy-nine thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 431 862 1293 2586 3879 7758 11637 23274 34911 69822 185674217 371348434 557022651 1114045302 1671067953 3342135906 5013203859 10026407718 15039611577 30079223154 80025587527 160051175054 240076762581 480153525162 720230287743 1440460575486 2160690863229 4321381726458 6482072589687 12964145179374