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12892185009 = 32112317093313
BaseRepresentation
bin11000000000110111…
…10010000110110001
31020021110220212002200
430000123302012301
5202400344410014
65531140133413
7634323523134
oct140033620661
936243825080
1012892185009
115516336460
1225b9697269
1312a5c53052
148a430221b
15506c56a09
hex3006f21b1

12892185009 has 48 divisors (see below), whose sum is σ = 21217023360. Its totient is φ = 7467102720.

The previous prime is 12892185001. The next prime is 12892185011. The reversal of 12892185009 is 90058129821.

12892185009 is a `hidden beast` number, since 128 + 9 + 2 + 18 + 500 + 9 = 666.

It is not a de Polignac number, because 12892185009 - 23 = 12892185001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12892185001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3889737 + ... + 3893049.

It is an arithmetic number, because the mean of its divisors is an integer number (442021320).

Almost surely, 212892185009 is an apocalyptic number.

It is an amenable number.

12892185009 is a deficient number, since it is larger than the sum of its proper divisors (8324838351).

12892185009 is a wasteful number, since it uses less digits than its factorization.

12892185009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 12892185009 in words is "twelve billion, eight hundred ninety-two million, one hundred eighty-five thousand, nine".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 1709 2277 3313 5127 9939 15381 18799 29817 36443 39307 56397 76199 109329 117921 169191 228597 327987 353763 432377 685791 838189 1297131 2514567 3891393 5661917 7543701 16985751 50957253 62281087 130224091 186843261 390672273 560529783 1172016819 1432465001 4297395003 12892185009