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12086588064 = 253125901959
BaseRepresentation
bin10110100000110101…
…01011001010100000
31011012100001021211210
423100122223022200
5144223131304224
65315201310120
7605342206035
oct132032531240
934170037753
1012086588064
115142622561
122413935340
1311a8090775
1482931b38c
154ab176429
hex2d06ab2a0

12086588064 has 24 divisors (see below), whose sum is σ = 31727293920. Its totient is φ = 4028862656.

The previous prime is 12086588051. The next prime is 12086588147. The reversal of 12086588064 is 46088568021.

It is a happy number.

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

It is a super-2 number, since 2×120865880642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62950884 + ... + 62951075.

It is an arithmetic number, because the mean of its divisors is an integer number (1321970580).

Almost surely, 212086588064 is an apocalyptic number.

It is an amenable number.

12086588064 is an abundant number, since it is smaller than the sum of its proper divisors (19640705856).

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

12086588064 is a wasteful number, since it uses less digits than its factorization.

12086588064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125901972 (or 125901964 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 12086588064 in words is "twelve billion, eighty-six million, five hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 125901959 251803918 377705877 503607836 755411754 1007215672 1510823508 2014431344 3021647016 4028862688 6043294032 12086588064