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18678056768 = 26736531303
BaseRepresentation
bin10001011001010011…
…001000011101000000
31210012201001121001022
4101121103020131000
5301223040304033
612325223325012
71230600602000
oct213123103500
953181047038
1018678056768
117a15304558
1237532b0768
1319b8858bc7
14c928d2000
15744b94098
hex4594c8740

18678056768 has 112 divisors (see below), whose sum is σ = 43323052800. Its totient is φ = 7986488832.

The previous prime is 18678056731. The next prime is 18678056773. The reversal of 18678056768 is 86765087681.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 18678056768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14334005 + ... + 14335307.

Almost surely, 218678056768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18678056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21661526400).

18678056768 is an abundant number, since it is smaller than the sum of its proper divisors (24644996032).

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

18678056768 is an equidigital number, since it uses as much as digits as its factorization.

18678056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 62.

The spelling of 18678056768 in words is "eighteen billion, six hundred seventy-eight million, fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 653 686 784 1303 1306 1372 1568 2606 2612 2744 3136 4571 5212 5224 5488 9121 9142 10424 10448 10976 18242 18284 20848 20896 21952 31997 36484 36568 41696 41792 63847 63994 72968 73136 83392 127694 127988 145936 146272 223979 255388 255976 291872 292544 446929 447958 510776 511952 583744 850859 893858 895916 1021552 1023904 1701718 1787716 1791832 2043104 2047808 3403436 3575432 3583664 4086208 5956013 6806872 7150864 7167328 11912026 13613744 14301728 14334656 23824052 27227488 28603456 41692091 47648104 54454976 83384182 95296208 166768364 190592416 291844637 333536728 381184832 583689274 667073456 1167378548 1334146912 2334757096 2668293824 4669514192 9339028384 18678056768