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38676132831567 = 3711179848773321
BaseRepresentation
bin10001100101100111111010…
…01010001010000101001111
312001221101212012021210001010
420302303331022022011033
520032132210001102232
6214131323052220303
711101154424554520
oct1062637512120517
9161841765253033
1038676132831567
1111361501775aa0
12440783a76a693
1318771b387156a
14979d131d0847
154710c57e30cc
hex232cfd28a14f

38676132831567 has 32 divisors (see below), whose sum is σ = 68074721201664. Its totient is φ = 18909644774400.

The previous prime is 38676132831509. The next prime is 38676132831587. The reversal of 38676132831567 is 76513823167683.

It is a happy number.

38676132831567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38676132831567 - 214 = 38676132815183 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38676132831498 and 38676132831507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38676132831587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4924382734 + ... + 4924390587.

It is an arithmetic number, because the mean of its divisors is an integer number (2127335037552).

Almost surely, 238676132831567 is an apocalyptic number.

38676132831567 is a deficient number, since it is larger than the sum of its proper divisors (29398588370097).

38676132831567 is a wasteful number, since it uses less digits than its factorization.

38676132831567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848773359.

The product of its digits is 182891520, while the sum is 66.

The spelling of 38676132831567 in words is "thirty-eight trillion, six hundred seventy-six billion, one hundred thirty-two million, eight hundred thirty-one thousand, five hundred sixty-seven".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 357 561 1309 3927 9848773321 29546319963 68941413247 108336506531 167429146457 206824239741 325009519593 502287439371 758355545717 1172004025199 1841720611027 2275066637151 3516012075597 5525161833081 12892044277189 38676132831567