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21858187104 = 25321317343423
BaseRepresentation
bin10100010110110110…
…010111011101100000
32002102100000221202100
4110112312113131200
5324231143441404
614012544450400
71402444345005
oct242666273540
962370027670
1021858187104
1192a7416546
1242a0319a00
1320a465b730
1410b4dc78ac
1587de69d39
hex516d97760

21858187104 has 144 divisors (see below), whose sum is σ = 70878592512. Its totient is φ = 6329954304.

The previous prime is 21858187093. The next prime is 21858187159. The reversal of 21858187104 is 40178185812.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 21858187104.

It is a congruent number.

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, 108064 + ... + 235359.

It is an arithmetic number, because the mean of its divisors is an integer number (492212448).

Almost surely, 221858187104 is an apocalyptic number.

21858187104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21858187104 is an abundant number, since it is smaller than the sum of its proper divisors (49020405408).

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

21858187104 is a wasteful number, since it uses less digits than its factorization.

21858187104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343469 (or 343458 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 21858187104 in words is "twenty-one billion, eight hundred fifty-eight million, one hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 7072 7956 10608 15912 21216 31824 63648 343423 686846 1030269 1373692 2060538 2747384 3090807 4121076 4464499 5494768 5838191 6181614 8242152 8928998 10989536 11676382 12363228 13393497 16484304 17514573 17857996 23352764 24726456 26786994 32968608 35029146 35715992 40180491 46705528 49452912 52543719 53573988 70058292 71431984 75896483 80360982 93411056 98905824 105087438 107147976 140116584 142863968 151792966 160721964 186822112 210174876 214295952 227689449 280233168 303585932 321443928 420349752 428591904 455378898 560466336 607171864 642887856 683068347 840699504 910757796 1214343728 1285775712 1366136694 1681399008 1821515592 2428687456 2732273388 3643031184 5464546776 7286062368 10929093552 21858187104