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21372092016016 = 247241240272
BaseRepresentation
bin1001101110000000100111…
…11100111110010110010000
32210200011002211122211020011
410313000103330332112100
510300130021024003031
6113242111543524304
74334040235515100
oct467002374762620
983604084584204
1021372092016016
11689a942856955
12249207a459694
13bc04c2079601
1453c5b41cb200
15270e0cda86b1
hex137013f3e590

21372092016016 has 135 divisors (see below), whose sum is σ = 49384759737537. Its totient is φ = 8933847310080.

The previous prime is 21372092015999. The next prime is 21372092016053. The reversal of 21372092016016 is 61061029027312.

It is a happy number.

The square root of 21372092016016 is 4622996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1029827158416 + 20342264857600 = 1014804^2 + 4510240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21372092016016.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5307197395 + ... + 5307201421.

Almost surely, 221372092016016 is an apocalyptic number.

21372092016016 is the 4622996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21372092016016

21372092016016 is an abundant number, since it is smaller than the sum of its proper divisors (28012667721521).

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

21372092016016 is an frugal number, since it uses more digits than its factorization.

21372092016016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 21372092016016 in words is "twenty-one trillion, three hundred seventy-two billion, ninety-two million, sixteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 287 328 392 574 656 784 1148 1681 2009 2296 3362 4018 4027 4592 6724 8036 8054 11767 13448 16072 16108 23534 26896 28189 32144 32216 47068 56378 64432 82369 94136 112756 164738 165107 188272 197323 225512 329476 330214 394646 451024 658952 660428 789292 1155749 1317904 1320856 1578584 2311498 2641712 3157168 4622996 6769387 8090243 9245992 13538774 16180486 16216729 18491984 27077548 32360972 32433458 47385709 54155096 64721944 64866916 94771418 108310192 113517103 129443888 129733832 189542836 227034206 259467664 331699963 379085672 454068412 663399926 664885889 758171344 794619721 908136824 1326799852 1329771778 1589239442 1816273648 2653599704 2659543556 3178478884 4654201223 5307199408 5319087112 6356957768 9308402446 10638174224 12713915536 18616804892 27260321449 32579408561 37233609784 54520642898 65158817122 74467219568 109041285796 130317634244 190822250143 218082571592 260635268488 381644500286 436165143184 521270536976 763289000572 1335755751001 1526578001144 2671511502002 3053156002288 5343023004004 10686046008008 21372092016016