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18344978624 = 267311320923
BaseRepresentation
bin10001000101011100…
…100010100011000000
31202100111022110201202
4101011130202203000
5300032303303444
612232204320332
71216414513460
oct210534424300
952314273652
1018344978624
117864297a65
12367b8430a8
13196484904b
14c6058bba0
157257ee34e
hex4457228c0

18344978624 has 56 divisors (see below), whose sum is σ = 42945881088. Its totient is φ = 7608510720.

The previous prime is 18344978609. The next prime is 18344978689. The reversal of 18344978624 is 42687944381.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 18344978624.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 646574 + ... + 674349.

Almost surely, 218344978624 is an apocalyptic number.

18344978624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18344978624 is an abundant number, since it is smaller than the sum of its proper divisors (24600902464).

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

18344978624 is a wasteful number, since it uses less digits than its factorization.

18344978624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320973 (or 1320963 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 56.

The spelling of 18344978624 in words is "eighteen billion, three hundred forty-four million, nine hundred seventy-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 13888 1320923 2641846 5283692 9246461 10567384 18492922 21134768 36985844 40948613 42269536 73971688 81897226 84539072 147943376 163794452 286640291 295886752 327588904 573280582 591773504 655177808 1146561164 1310355616 2293122328 2620711232 4586244656 9172489312 18344978624