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12645390456 = 2332175630423
BaseRepresentation
bin10111100011011100…
…10101100001111000
31012122021112101121200
423301232111201320
5201344204443311
65450442334200
7625236021366
oct136156254170
935567471550
1012645390456
1153a9aa2016
12254aaba360
131266a9367a
1487d61c636
154e0257556
hex2f1b95878

12645390456 has 24 divisors (see below), whose sum is σ = 34247932680. Its totient is φ = 4215130128.

The previous prime is 12645390431. The next prime is 12645390487. The reversal of 12645390456 is 65409354621.

12645390456 is a `hidden beast` number, since 1 + 2 + 64 + 53 + 90 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87815140 + ... + 87815283.

It is an arithmetic number, because the mean of its divisors is an integer number (1426997195).

Almost surely, 212645390456 is an apocalyptic number.

It is an amenable number.

12645390456 is an abundant number, since it is smaller than the sum of its proper divisors (21602542224).

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

12645390456 is a wasteful number, since it uses less digits than its factorization.

12645390456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175630435 (or 175630428 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 12645390456 in words is "twelve billion, six hundred forty-five million, three hundred ninety thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 175630423 351260846 526891269 702521692 1053782538 1405043384 1580673807 2107565076 3161347614 4215130152 6322695228 12645390456