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12607261164 = 22323111296829
BaseRepresentation
bin10111011110111001…
…11000100111101100
31012112121210020001200
423233130320213230
5201304424324124
65443001205500
7624263644311
oct135734704754
935477706050
1012607261164
11538a519a03
12253a190890
13125bc03464
14878534d08
154dbc24bc9
hex2ef7389ec

12607261164 has 36 divisors (see below), whose sum is σ = 32896368960. Its totient is φ = 4066858080.

The previous prime is 12607261157. The next prime is 12607261201. The reversal of 12607261164 is 46116270621.

12607261164 is a `hidden beast` number, since 12 + 607 + 26 + 1 + 16 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5647299 + ... + 5649530.

Almost surely, 212607261164 is an apocalyptic number.

It is an amenable number.

12607261164 is an abundant number, since it is smaller than the sum of its proper divisors (20289107796).

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

12607261164 is a wasteful number, since it uses less digits than its factorization.

12607261164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11296870 (or 11296865 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12607261164 in words is "twelve billion, six hundred seven million, two hundred sixty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 11296829 22593658 33890487 45187316 67780974 101671461 135561948 203342922 350201699 406685844 700403398 1050605097 1400806796 2101210194 3151815291 4202420388 6303630582 12607261164