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86124874464 = 2532299044703
BaseRepresentation
bin101000000110101110…
…0010100101011100000
322020022012010221020100
41100031130110223200
52402340431440324
6103322030542400
76136153232316
oct1201534245340
9266265127210
1086124874464
1133586278a02
1214837067a00
1381770433a5
1442503b20b6
1523910714c9
hex140d714ae0

86124874464 has 36 divisors (see below), whose sum is σ = 244917612576. Its totient is φ = 28708291392.

The previous prime is 86124874441. The next prime is 86124874477. The reversal of 86124874464 is 46447842168.

86124874464 is a `hidden beast` number, since 8 + 61 + 2 + 487 + 44 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86124874464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149522064 + ... + 149522639.

It is an arithmetic number, because the mean of its divisors is an integer number (6803267016).

Almost surely, 286124874464 is an apocalyptic number.

It is an amenable number.

86124874464 is an abundant number, since it is smaller than the sum of its proper divisors (158792738112).

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

86124874464 is a wasteful number, since it uses less digits than its factorization.

86124874464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299044719 (or 299044708 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 86124874464 in words is "eighty-six billion, one hundred twenty-four million, eight hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 299044703 598089406 897134109 1196178812 1794268218 2392357624 2691402327 3588536436 4784715248 5382804654 7177072872 9569430496 10765609308 14354145744 21531218616 28708291488 43062437232 86124874464