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18139758480 = 24325103244603
BaseRepresentation
bin10000111001001101…
…101011111110010000
31201211012011012121200
4100321031223332100
5244122234232410
612155553551200
71211343255144
oct207115537620
951735135550
1018139758480
11776946a038
123622b75500
1319311849cc
14c4120b224
157127b33c0
hex43936bf90

18139758480 has 120 divisors (see below), whose sum is σ = 61511057088. Its totient is φ = 4790285568.

The previous prime is 18139758457. The next prime is 18139758499. The reversal of 18139758480 is 8485793181.

18139758480 is a `hidden beast` number, since 1 + 81 + 39 + 7 + 58 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48142 + ... + 196461.

Almost surely, 218139758480 is an apocalyptic number.

18139758480 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 18139758480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30755528544).

18139758480 is an abundant number, since it is smaller than the sum of its proper divisors (43371298608).

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

18139758480 is a wasteful number, since it uses less digits than its factorization.

18139758480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244725 (or 244716 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 18139758480 in words is "eighteen billion, one hundred thirty-nine million, seven hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 103 120 144 180 206 240 309 360 412 515 618 720 824 927 1030 1236 1545 1648 1854 2060 2472 3090 3708 4120 4635 4944 6180 7416 8240 9270 12360 14832 18540 24720 37080 74160 244603 489206 733809 978412 1223015 1467618 1956824 2201427 2446030 2935236 3669045 3913648 4402854 4892060 5870472 7338090 8805708 9784120 11007135 11740944 14676180 17611416 19568240 22014270 25194109 29352360 35222832 44028540 50388218 58704720 75582327 88057080 100776436 125970545 151164654 176114160 201552872 226746981 251941090 302329308 377911635 403105744 453493962 503882180 604658616 755823270 906987924 1007764360 1133734905 1209317232 1511646540 1813975848 2015528720 2267469810 3023293080 3627951696 4534939620 6046586160 9069879240 18139758480