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18957064032 = 253265823139
BaseRepresentation
bin10001101001111011…
…011101011101100000
31210221011001122001200
4101221323131131200
5302311002022112
612413031401200
71240526246154
oct215173353540
953834048050
1018957064032
11804884a875
123810823200
131a315b676a
14cbb99d064
1575e407cdc
hex469edd760

18957064032 has 36 divisors (see below), whose sum is σ = 53909151660. Its totient is φ = 6319021248.

The previous prime is 18957063973. The next prime is 18957064069. The reversal of 18957064032 is 23046075981.

18957064032 is a `hidden beast` number, since 1 + 8 + 9 + 570 + 6 + 40 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32911282 + ... + 32911857.

It is an arithmetic number, because the mean of its divisors is an integer number (1497476435).

It is a 1-persistent number, because it is pandigital, but 2⋅18957064032 = 37914128064 is not.

Almost surely, 218957064032 is an apocalyptic number.

18957064032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18957064032 is an abundant number, since it is smaller than the sum of its proper divisors (34952087628).

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

18957064032 is a wasteful number, since it uses less digits than its factorization.

18957064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65823155 (or 65823144 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 18957064032 in words is "eighteen billion, nine hundred fifty-seven million, sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 65823139 131646278 197469417 263292556 394938834 526585112 592408251 789877668 1053170224 1184816502 1579755336 2106340448 2369633004 3159510672 4739266008 6319021344 9478532016 18957064032