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13214955168 = 253317899711
BaseRepresentation
bin11000100111010110…
…00011011010100000
31021002222021021112000
430103223003122200
5204031012031133
610023150204000
7645323160042
oct142353033240
937088237460
1013214955168
115671552458
1226897b3600
131327a940cc
148d5121a92
15525262413
hex313ac36a0

13214955168 has 96 divisors (see below), whose sum is σ = 40810936320. Its totient is φ = 4145863680.

The previous prime is 13214955157. The next prime is 13214955209. The reversal of 13214955168 is 86155941231.

It is a happy number.

13214955168 is a `hidden beast` number, since 1 + 32 + 1 + 4 + 9 + 551 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435168 + ... + 464543.

It is an arithmetic number, because the mean of its divisors is an integer number (425113920).

Almost surely, 213214955168 is an apocalyptic number.

13214955168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13214955168 is an abundant number, since it is smaller than the sum of its proper divisors (27595981152).

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

13214955168 is a wasteful number, since it uses less digits than its factorization.

13214955168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899747 (or 899733 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 13214955168 in words is "thirteen billion, two hundred fourteen million, nine hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 899711 1799422 2699133 3598844 5398266 7197688 8097399 10796532 14395376 15295087 16194798 21593064 24292197 28790752 30590174 32389596 43186128 45885261 48584394 61180348 64779192 86372256 91770522 97168788 122360696 129558384 137655783 183541044 194337576 244721392 259116768 275311566 367082088 388675152 412967349 489442784 550623132 734164176 777350304 825934698 1101246264 1468328352 1651869396 2202492528 3303738792 4404985056 6607477584 13214955168