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10132640082 = 23462547161
BaseRepresentation
bin10010110111111001…
…11101000101010010
3222011011100110010000
421123330331011102
5131222423440312
64353241350430
7506045006505
oct113374750522
928134313100
1010132640082
11432a67a514
121b69498416
13c5631b826
146c1a0d13c
153e485dadc
hex25bf3d152

10132640082 has 20 divisors (see below), whose sum is σ = 22704619806. Its totient is φ = 3377546640.

The previous prime is 10132640071. The next prime is 10132640123. The reversal of 10132640082 is 28004623101.

10132640082 is a `hidden beast` number, since 1 + 0 + 13 + 2 + 640 + 0 + 8 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6562458081 + 3570182001 = 81009^2 + 59751^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31273419 + ... + 31273742.

Almost surely, 210132640082 is an apocalyptic number.

10132640082 is an abundant number, since it is smaller than the sum of its proper divisors (12571979724).

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

10132640082 is an equidigital number, since it uses as much as digits as its factorization.

10132640082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62547175 (or 62547166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10132640082 in words is "ten billion, one hundred thirty-two million, six hundred forty thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 62547161 125094322 187641483 375282966 562924449 1125848898 1688773347 3377546694 5066320041 10132640082