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214897812872 = 231723123112
BaseRepresentation
bin1100100000100011101…
…0000110010110001000
3202112200121010222210112
43020020322012112020
512010102320002442
6242420033533452
721345240161531
oct3101072062610
9675617128715
10214897812872
1183157238546
1235794a14288
131735993a072
14a588905688
1558cb301082
hex3208e86588

214897812872 has 108 divisors (see below), whose sum is σ = 443709106245. Its totient is φ = 97551494400.

The previous prime is 214897812859. The next prime is 214897812929. The reversal of 214897812872 is 278218798412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 196679832196 + 18217980676 = 443486^2 + 134974^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=327794.

It is a Duffinian number.

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, 690989597 + ... + 690989907.

Almost surely, 2214897812872 is an apocalyptic number.

It is an amenable number.

214897812872 is an abundant number, since it is smaller than the sum of its proper divisors (228811293373).

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

214897812872 is an equidigital number, since it uses as much as digits as its factorization.

214897812872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 361 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 59.

The spelling of 214897812872 in words is "two hundred fourteen billion, eight hundred ninety-seven million, eight hundred twelve thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 17 31 34 62 68 124 136 248 289 311 527 578 622 961 1054 1156 1244 1922 2108 2312 2488 3844 4216 5287 7688 8959 9641 10574 16337 17918 19282 21148 32674 35836 38564 42296 65348 71672 77128 89879 96721 130696 163897 179758 193442 277729 298871 327794 359516 386884 555458 597742 655588 719032 773768 1110916 1195484 1311176 1644257 2221832 2390968 2786249 2998351 3288514 5080807 5572498 5996702 6577028 10161614 11144996 11993404 13154056 20323228 22289992 23986808 27952369 40646456 50971967 55904738 86373719 92948881 101943934 111809476 172747438 185897762 203887868 223618952 345494876 371795524 407775736 690989752 743591048 866523439 1580130977 1733046878 3160261954 3466093756 6320523908 6932187512 12641047816 26862226609 53724453218 107448906436 214897812872