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85836673135314 = 2324768704063073
BaseRepresentation
bin10011100001000101101000…
…011010010011001011010010
3102020220220110100002012010200
4103201011220122103023102
542222322001310312224
6502320453454040030
724036331531153413
oct2341055032231322
9366826410065120
1085836673135314
1125394146255792
1297638801a9016
1338b84959281ca
14172a73509d80a
159dcc1ed265c9
hex4e11686932d2

85836673135314 has 12 divisors (see below), whose sum is σ = 185979458459886. Its totient is φ = 28612224378432.

The previous prime is 85836673135313. The next prime is 85836673135321. The reversal of 85836673135314 is 41353137663858.

85836673135314 is a `hidden beast` number, since 8 + 5 + 8 + 3 + 6 + 67 + 31 + 3 + 531 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67541523273225 + 18295149862089 = 8218365^2 + 4277283^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85836673135313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2384352031519 + ... + 2384352031554.

Almost surely, 285836673135314 is an apocalyptic number.

85836673135314 is an abundant number, since it is smaller than the sum of its proper divisors (100142785324572).

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

85836673135314 is a wasteful number, since it uses less digits than its factorization.

85836673135314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768704063081 (or 4768704063078 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 85836673135314 in words is "eighty-five trillion, eight hundred thirty-six billion, six hundred seventy-three million, one hundred thirty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 4768704063073 9537408126146 14306112189219 28612224378438 42918336567657 85836673135314