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6120396864 = 263210625689
BaseRepresentation
bin1011011001100110…
…11101100001000000
3120210112121101010100
411230303131201000
5100013310144424
62451153202400
7304445341431
oct55463354100
916715541110
106120396864
11266089382a
121229860400
1376700150a
14420bcd488
1525c4badc9
hex16ccdd840

6120396864 has 42 divisors (see below), whose sum is σ = 17543014190. Its totient is φ = 2040132096.

The previous prime is 6120396857. The next prime is 6120396871. The reversal of 6120396864 is 4686930216.

It is an interprime number because it is at equal distance from previous prime (6120396857) and next prime (6120396871).

It can be written as a sum of positive squares in only one way, i.e., 5653836864 + 466560000 = 75192^2 + 21600^2 .

It is a super-2 number, since 2×61203968642 = 74918515545722068992, which contains 22 as substring.

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, 5312269 + ... + 5313420.

Almost surely, 26120396864 is an apocalyptic number.

6120396864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6120396864 is an abundant number, since it is smaller than the sum of its proper divisors (11422617326).

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

6120396864 is a wasteful number, since it uses less digits than its factorization.

6120396864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10625707 (or 10625694 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6120396864 is about 78232.9653279230. The cubic root of 6120396864 is about 1829.1943923370.

The spelling of 6120396864 in words is "six billion, one hundred twenty million, three hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 10625689 21251378 31877067 42502756 63754134 85005512 95631201 127508268 170011024 191262402 255016536 340022048 382524804 510033072 680044096 765049608 1020066144 1530099216 2040132288 3060198432 6120396864