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18685839456 = 253437194839
BaseRepresentation
bin10001011001110000…
…110100100001100000
31210020020200222220000
4101121300310201200
5301232033330311
612330102220000
71231024005024
oct213160644140
953206628800
1018685839456
117a1973a829
123755a24600
1319ba35244b
14c9395a384
157456d0056
hex459c34860

18685839456 has 120 divisors (see below), whose sum is σ = 56440082160. Its totient is φ = 6060241152.

The previous prime is 18685839413. The next prime is 18685839461. The reversal of 18685839456 is 65493858681.

18685839456 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 583 + 9 + 45 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18685839393 and 18685839402.

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 19 ways as a sum of consecutive naturals, for example, 1516 + ... + 193323.

It is an arithmetic number, because the mean of its divisors is an integer number (470334018).

Almost surely, 218685839456 is an apocalyptic number.

18685839456 is a gapful number since it is divisible by the number (16) 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 18685839456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28220041080).

18685839456 is an abundant number, since it is smaller than the sum of its proper divisors (37754242704).

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

18685839456 is a wasteful number, since it uses less digits than its factorization.

18685839456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194898 (or 194881 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 18685839456 in words is "eighteen billion, six hundred eighty-five million, eight hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 864 888 999 1184 1296 1332 1776 1998 2592 2664 2997 3552 3996 5328 5994 7992 10656 11988 15984 23976 31968 47952 95904 194839 389678 584517 779356 1169034 1558712 1753551 2338068 3117424 3507102 4676136 5260653 6234848 7014204 7209043 9352272 10521306 14028408 14418086 15781959 18704544 21042612 21627129 28056816 28836172 31563918 42085224 43254258 56113632 57672344 63127836 64881387 84170448 86508516 115344688 126255672 129762774 168340896 173017032 194644161 230689376 252511344 259525548 346034064 389288322 505022688 519051096 583932483 692068128 778576644 1038102192 1167864966 1557153288 2076204384 2335729932 3114306576 4671459864 6228613152 9342919728 18685839456