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86934052125 = 3253137564049
BaseRepresentation
bin101000011110110101…
…1000101110100011101
322022101120202102022100
41100331223011310131
52411020104132000
6103534214235313
76165210152004
oct1207553056435
9268346672270
1086934052125
1133961008078
1214a22055b39
13827588a73b
1442c9a49c3b
1523dc10ca00
hex143dac5d1d

86934052125 has 48 divisors (see below), whose sum is σ = 157857289200. Its totient is φ = 46026316800.

The previous prime is 86934052111. The next prime is 86934052147. The reversal of 86934052125 is 52125043968.

86934052125 is a `hidden beast` number, since 8 + 69 + 3 + 40 + 521 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37764537561 + 49169514564 = 194331^2 + 221742^2 .

It is not a de Polignac number, because 86934052125 - 29 = 86934051613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127900 + ... + 436149.

It is an arithmetic number, because the mean of its divisors is an integer number (3288693525).

Almost surely, 286934052125 is an apocalyptic number.

It is an amenable number.

86934052125 is a deficient number, since it is larger than the sum of its proper divisors (70923237075).

86934052125 is a wasteful number, since it uses less digits than its factorization.

86934052125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564207 (or 564194 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 86934052125 in words is "eighty-six billion, nine hundred thirty-four million, fifty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 137 225 375 411 685 1125 1233 2055 3425 6165 10275 17125 30825 51375 154125 564049 1692147 2820245 5076441 8460735 14101225 25382205 42303675 70506125 77274713 126911025 211518375 231824139 386373565 634555125 695472417 1159120695 1931867825 3477362085 5795603475 9659339125 17386810425 28978017375 86934052125