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18958488768 = 2632291134967
BaseRepresentation
bin10001101010000000…
…111001010011000000
31210221020202000102200
4101222000321103000
5302311333120033
612413122113200
71240544332002
oct215200712300
953836660380
1018958488768
11804963323a
1238111ab800
131a319950bb
14cbbc50372
1575e5da013
hex46a0394c0

18958488768 has 84 divisors (see below), whose sum is σ = 56214965040. Its totient is φ = 6101577216.

The previous prime is 18958488767. The next prime is 18958488779. The reversal of 18958488768 is 86788485981.

18958488768 is a `hidden beast` number, since 1 + 89 + 5 + 8 + 488 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18958488696 and 18958488705.

It is not an unprimeable number, because it can be changed into a prime (18958488763) 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, 550780 + ... + 584187.

Almost surely, 218958488768 is an apocalyptic number.

18958488768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18958488768 is an abundant number, since it is smaller than the sum of its proper divisors (37256476272).

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

18958488768 is a wasteful number, since it uses less digits than its factorization.

18958488768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135014 (or 1135001 counting only the distinct ones).

The product of its digits is 247726080, while the sum is 72.

The spelling of 18958488768 in words is "eighteen billion, nine hundred fifty-eight million, four hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 1134967 2269934 3404901 4539868 6809802 9079736 10214703 13619604 18159472 20429406 27239208 32914043 36318944 40858812 54478416 65828086 72637888 81717624 98742129 108956832 131656172 163435248 197484258 217913664 263312344 296226387 326870496 394968516 526624688 592452774 653740992 789937032 1053249376 1184905548 1579874064 2106498752 2369811096 3159748128 4739622192 6319496256 9479244384 18958488768