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232638732126 = 23347271338237
BaseRepresentation
bin1101100010101001011…
…0010101011101011110
3211020110222211001212000
43120222112111131132
512302421003412001
6254512303223130
722544001411303
oct3305226253536
9736428731760
10232638732126
118a730554789
12391062a7aa6
1318c26298918
14b38cb710aa
1560b8a7ea86
hex362a59575e

232638732126 has 64 divisors (see below), whose sum is σ = 529924239360. Its totient is φ = 75616040160.

The previous prime is 232638732071. The next prime is 232638732149. The reversal of 232638732126 is 621237836232.

232638732126 is a `hidden beast` number, since 2 + 3 + 2 + 638 + 7 + 3 + 2 + 1 + 2 + 6 = 666.

232638732126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 518680 + ... + 856916.

It is an arithmetic number, because the mean of its divisors is an integer number (8280066240).

Almost surely, 2232638732126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232638732126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264962119680).

232638732126 is an abundant number, since it is smaller than the sum of its proper divisors (297285507234).

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

232638732126 is a wasteful number, since it uses less digits than its factorization.

232638732126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338566 (or 338560 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 232638732126 in words is "two hundred thirty-two billion, six hundred thirty-eight million, seven hundred thirty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 271 282 423 542 813 846 1269 1626 2439 2538 4878 7317 12737 14634 25474 38211 76422 114633 229266 338237 343899 676474 687798 1014711 2029422 3044133 6088266 9132399 15897139 18264798 31794278 47691417 91662227 95382834 143074251 183324454 274986681 286148502 429222753 549973362 824960043 858445506 1649920086 2474880129 4308124669 4949760258 8616249338 12924374007 25848748014 38773122021 77546244042 116319366063 232638732126