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86172455656 = 2372375941289
BaseRepresentation
bin101000001000001000…
…1110101001011101000
322020102111200022100201
41100100101311023220
52402440122040111
6103330450441544
76140301534100
oct1202021651350
9266374608321
1086172455656
1133600117401
121484ab932b4
138183b62841
14425683a200
15239531e6c1
hex14104752e8

86172455656 has 48 divisors (see below), whose sum is σ = 193032512100. Its totient is φ = 35932909824.

The previous prime is 86172455597. The next prime is 86172455669. The reversal of 86172455656 is 65655427168.

It can be written as a sum of positive squares in 2 ways, for example, as 85983832900 + 188622756 = 293230^2 + 13734^2 .

It is a super-2 number, since 2×861724556562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86172455597 and 86172455606.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2956141 + ... + 2985148.

Almost surely, 286172455656 is an apocalyptic number.

It is an amenable number.

86172455656 is an abundant number, since it is smaller than the sum of its proper divisors (106860056444).

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

86172455656 is a wasteful number, since it uses less digits than its factorization.

86172455656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941346 (or 5941335 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 55.

The spelling of 86172455656 in words is "eighty-six billion, one hundred seventy-two million, four hundred fifty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1813 2072 3626 7252 14504 5941289 11882578 23765156 41589023 47530312 83178046 166356092 219827693 291123161 332712184 439655386 582246322 879310772 1164492644 1538793851 1758621544 2328985288 3077587702 6155175404 10771556957 12310350808 21543113914 43086227828 86172455656