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21507460373412 = 223213591017712051
BaseRepresentation
bin1001110001111100110001…
…00010010001101110100100
32211011002111220002212202200
410320332120202101232210
510304334234323422122
6113424220233334500
74346601626542146
oct470763042215644
984132456085680
1021507460373412
116942298756392
1224b4358b67430
13c001b61c2780
14544d76642c96
152746d21865ac
hex138f98891ba4

21507460373412 has 144 divisors (see below), whose sum is σ = 60129943997760. Its totient is φ = 6441104160000.

The previous prime is 21507460373383. The next prime is 21507460373437. The reversal of 21507460373412 is 21437306470512.

It is a happy number.

21507460373412 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 7 + 4 + 603 + 7 + 34 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067214 + ... + 6644837.

It is an arithmetic number, because the mean of its divisors is an integer number (417569055540).

Almost surely, 221507460373412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21507460373412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30064971998880).

21507460373412 is an abundant number, since it is smaller than the sum of its proper divisors (38622483624348).

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

21507460373412 is a wasteful number, since it uses less digits than its factorization.

21507460373412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712234 (or 7712229 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 21507460373412 in words is "twenty-one trillion, five hundred seven billion, four hundred sixty million, three hundred seventy-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 101 117 118 156 177 202 234 236 303 354 404 468 531 606 708 767 909 1062 1212 1313 1534 1818 2124 2301 2626 3068 3636 3939 4602 5252 5959 6903 7878 9204 11817 11918 13806 15756 17877 23634 23836 27612 35754 47268 53631 71508 77467 107262 154934 214524 232401 309868 464802 697203 929604 1394406 2788812 7712051 15424102 23136153 30848204 46272306 69408459 92544612 100256663 138816918 200513326 277633836 300769989 401026652 455011009 601539978 778917151 902309967 910022018 1203079956 1365033027 1557834302 1804619934 1820044036 2336751453 2730066054 3115668604 3609239868 4095099081 4673502906 5460132108 5915143117 7010254359 8190198162 9347005812 10125922963 11830286234 14020508718 16380396324 17745429351 20251845926 23660572468 28041017436 30377768889 35490858702 40503691852 45956111909 53236288053 60755537778 70981717404 91133306667 91912223818 106472576106 121511075556 137868335727 182266613334 183824447636 212945152212 275736671454 364533226668 413605007181 551473342908 597429454817 827210014362 1194858909634 1654420028724 1792288364451 2389717819268 3584576728902 5376865093353 7169153457804 10753730186706 21507460373412