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10827927108 = 2232300775753
BaseRepresentation
bin10100001010110010…
…10000111001000100
31000221121122200121100
422011121100321010
5134133422131413
64550240020100
7532216601415
oct120531207104
930847580540
1010827927108
11465709a999
122122301630
13103739a97b
1474a0bb80c
154358eea73
hex285650e44

10827927108 has 18 divisors (see below), whose sum is σ = 27370593614. Its totient is φ = 3609309024.

The previous prime is 10827927059. The next prime is 10827927133. The reversal of 10827927108 is 80172972801.

10827927108 is a `hidden beast` number, since 108 + 279 + 271 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6544486404 + 4283440704 = 80898^2 + 65448^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×108279271082 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150387841 + ... + 150387912.

Almost surely, 210827927108 is an apocalyptic number.

10827927108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10827927108 is an abundant number, since it is smaller than the sum of its proper divisors (16542666506).

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

10827927108 is a wasteful number, since it uses less digits than its factorization.

10827927108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300775763 (or 300775758 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 10827927108 in words is "ten billion, eight hundred twenty-seven million, nine hundred twenty-seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 300775753 601551506 902327259 1203103012 1804654518 2706981777 3609309036 5413963554 10827927108