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13321009601892 = 22331812116932191
BaseRepresentation
bin1100000111011000101000…
…0010111001110101100100
31202011110212001200220201000
43001312022002321311210
53221222411424230032
644155330510233300
72543261015242506
oct301661202716544
952143761626630
1013321009601892
114276454707943
1215b184b1b5830
137582203b1405
14340a51579d76
1518179b53ce7c
hexc1d8a0b9d64

13321009601892 has 96 divisors (see below), whose sum is σ = 34729476454400. Its totient is φ = 4415458521600.

The previous prime is 13321009601863. The next prime is 13321009601903. The reversal of 13321009601892 is 29810690012331.

It is a happy number.

13321009601892 is a `hidden beast` number, since 1 + 3 + 32 + 1 + 0 + 0 + 9 + 601 + 8 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413795517 + ... + 413827707.

Almost surely, 213321009601892 is an apocalyptic number.

13321009601892 is a gapful number since it is divisible by the number (12) 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 13321009601892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364738227200).

13321009601892 is an abundant number, since it is smaller than the sum of its proper divisors (21408466852508).

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

13321009601892 is a wasteful number, since it uses less digits than its factorization.

13321009601892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53554 (or 53546 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 13321009601892 in words is "thirteen trillion, three hundred twenty-one billion, nine million, six hundred one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1629 2172 3258 4887 6516 9774 19548 21169 32191 42338 63507 64382 84676 96573 127014 128764 190521 193146 254028 289719 381042 386292 571563 579438 762084 869157 1143126 1158876 1738314 2286252 3476628 3831589 5826571 7663178 11494767 11653142 15326356 17479713 22989534 23306284 34484301 34959426 45979068 52439139 68968602 69918852 103452903 104878278 137937204 157317417 206905806 209756556 314634834 413811612 629269668 681451279 1362902558 2044353837 2725805116 4088707674 6133061511 8177415348 12266123022 18399184533 24532246044 36798369066 73596738132 123342681499 246685362998 370028044497 493370725996 740056088994 1110084133491 1480112177988 2220168266982 3330252400473 4440336533964 6660504800946 13321009601892