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18540376992 = 2532223288683
BaseRepresentation
bin10001010001000101…
…111011001110100000
31202212002222201220100
4101101011323032200
5300432314030432
612303424342400
71224306414144
oct212105731640
952762881810
1018540376992
117954617715
123715174a00
131996181997
14c7c4d3224
15737a4a07c
hex45117b3a0

18540376992 has 72 divisors (see below), whose sum is σ = 52960811904. Its totient is φ = 6152390784.

The previous prime is 18540376969. The next prime is 18540376993. The reversal of 18540376992 is 29967304581.

18540376992 is a `hidden beast` number, since 1 + 8 + 540 + 3 + 7 + 6 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (18540376993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80118 + ... + 208565.

It is an arithmetic number, because the mean of its divisors is an integer number (735566832).

It is a 1-persistent number, because it is pandigital, but 2⋅18540376992 = 37080753984 is not.

Almost surely, 218540376992 is an apocalyptic number.

18540376992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18540376992 is an abundant number, since it is smaller than the sum of its proper divisors (34420434912).

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

18540376992 is a wasteful number, since it uses less digits than its factorization.

18540376992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288922 (or 288911 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 18540376992 in words is "eighteen billion, five hundred forty million, three hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 223 288 446 669 892 1338 1784 2007 2676 3568 4014 5352 7136 8028 10704 16056 21408 32112 64224 288683 577366 866049 1154732 1732098 2309464 2598147 3464196 4618928 5196294 6928392 9237856 10392588 13856784 20785176 27713568 41570352 64376309 83140704 128752618 193128927 257505236 386257854 515010472 579386781 772515708 1030020944 1158773562 1545031416 2060041888 2317547124 3090062832 4635094248 6180125664 9270188496 18540376992