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232113013272 = 233274337106189
BaseRepresentation
bin1101100000101100000…
…0111000001000011000
3211012010100120210011100
43120023000320020120
512300331412411042
6254344203231400
722524656026260
oct3301300701030
9735110523140
10232113013272
118a490821398
1238b9a218560
1318b713aa38a
14b33d0027a0
15608783624c
hex360b038218

232113013272 has 96 divisors (see below), whose sum is σ = 718617463200. Its totient is φ = 66302088192.

The previous prime is 232113013219. The next prime is 232113013273. The reversal of 232113013272 is 272310311232.

232113013272 is a `hidden beast` number, since 2 + 32 + 1 + 1 + 301 + 327 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232113013273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2132754 + ... + 2238942.

It is an arithmetic number, because the mean of its divisors is an integer number (7485598575).

Almost surely, 2232113013272 is an apocalyptic number.

It is an amenable number.

232113013272 is an abundant number, since it is smaller than the sum of its proper divisors (486504449928).

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

232113013272 is a wasteful number, since it uses less digits than its factorization.

232113013272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110545 (or 110538 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 232113013272 in words is "two hundred thirty-two billion, one hundred thirteen million, thirteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4337 8674 13011 17348 26022 30359 34696 39033 52044 60718 78066 91077 104088 106189 121436 156132 182154 212378 242872 273231 312264 318567 364308 424756 546462 637134 728616 743323 849512 955701 1092924 1274268 1486646 1911402 2185848 2229969 2548536 2973292 3822804 4459938 5946584 6689907 7645608 8919876 13379814 17839752 26759628 53519256 460541693 921083386 1381625079 1842166772 2763250158 3223791851 3684333544 4144875237 5526500316 6447583702 8289750474 9671375553 11053000632 12895167404 16579500948 19342751106 25790334808 29014126659 33159001896 38685502212 58028253318 77371004424 116056506636 232113013272