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132007513257 = 3214667501473
BaseRepresentation
bin111101011110001000…
…0101100110010101001
3110121201211102111002200
41322330100230302221
54130322410411012
6140350551050413
712352161230454
oct1727420546251
9417654374080
10132007513257
1150a908885a4
1221701070a09
13c5a9a7c8b9
146563d5c49b
15367920c3dc
hex1ebc42cca9

132007513257 has 6 divisors (see below), whose sum is σ = 190677519162. Its totient is φ = 88005008832.

The previous prime is 132007513247. The next prime is 132007513381. The reversal of 132007513257 is 752315700231.

It is a happy number.

132007513257 is a `hidden beast` number, since 1 + 320 + 0 + 7 + 5 + 1 + 325 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107701456041 + 24306057216 = 328179^2 + 155904^2 .

It is not a de Polignac number, because 132007513257 - 210 = 132007512233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132007513237) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 7333750728 + ... + 7333750745.

It is an arithmetic number, because the mean of its divisors is an integer number (31779586527).

Almost surely, 2132007513257 is an apocalyptic number.

It is an amenable number.

132007513257 is a deficient number, since it is larger than the sum of its proper divisors (58670005905).

132007513257 is a wasteful number, since it uses less digits than its factorization.

132007513257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14667501479 (or 14667501476 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 132007513257 in words is "one hundred thirty-two billion, seven million, five hundred thirteen thousand, two hundred fifty-seven".

Divisors: 1 3 9 14667501473 44002504419 132007513257