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18681044320 = 2551757711903
BaseRepresentation
bin10001011001011110…
…100001110101100000
31210012220200101012101
4101121132201311200
5301224321404240
612325411340144
71230635154031
oct213136416540
953186611171
1018681044320
117a16a65104
1237542b1654
1319b93639a3
14c9306ca88
1574508439a
hex4597a1d60

18681044320 has 96 divisors (see below), whose sum is σ = 46815003648. Its totient is φ = 7020085248.

The previous prime is 18681044311. The next prime is 18681044351. The reversal of 18681044320 is 2344018681.

It is a self number, because there is not a number n which added to its sum of digits gives 18681044320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1563489 + ... + 1575391.

It is an arithmetic number, because the mean of its divisors is an integer number (487656288).

Almost surely, 218681044320 is an apocalyptic number.

18681044320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18681044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23407501824).

18681044320 is an abundant number, since it is smaller than the sum of its proper divisors (28133959328).

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

18681044320 is a wasteful number, since it uses less digits than its factorization.

18681044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12512 (or 12504 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 18681044320 in words is "eighteen billion, six hundred eighty-one million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 577 680 1154 1360 2308 2720 2885 4616 5770 9232 9809 11540 11903 18464 19618 23080 23806 39236 46160 47612 49045 59515 78472 92320 95224 98090 119030 156944 190448 196180 202351 238060 313888 380896 392360 404702 476120 784720 809404 952240 1011755 1569440 1618808 1904480 2023510 3237616 4047020 6475232 6868031 8094040 13736062 16188080 27472124 32376160 34340155 54944248 68680310 109888496 116756527 137360620 219776992 233513054 274721240 467026108 549442480 583782635 934052216 1098884960 1167565270 1868104432 2335130540 3736208864 4670261080 9340522160 18681044320