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231275058264 = 233217307615473
BaseRepresentation
bin1101011101100100010…
…0010101010001011000
3211002221221211020222200
43113121010111101120
512242122403331024
6254125111050200
722465132362615
oct3273104252130
9732857736880
10231275058264
118a0a0817398
12389a5670960
1318a698c8703
14b29d9d750c
156038eb32c9
hex35d9115458

231275058264 has 96 divisors (see below), whose sum is σ = 665376631920. Its totient is φ = 72320421888.

The previous prime is 231275058233. The next prime is 231275058271. The reversal of 231275058264 is 462850572132.

231275058264 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 7 + 5 + 0 + 582 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68032 + ... + 683504.

Almost surely, 2231275058264 is an apocalyptic number.

231275058264 is a gapful number since it is divisible by the number (24) 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 231275058264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332688315960).

231275058264 is an abundant number, since it is smaller than the sum of its proper divisors (434101573656).

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

231275058264 is a wasteful number, since it uses less digits than its factorization.

231275058264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615809 (or 615802 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 231275058264 in words is "two hundred thirty-one billion, two hundred seventy-five million, fifty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 307 408 612 614 921 1224 1228 1842 2456 2763 3684 5219 5526 7368 10438 11052 15657 20876 22104 31314 41752 46971 62628 93942 125256 187884 375768 615473 1230946 1846419 2461892 3692838 4923784 5539257 7385676 10463041 11078514 14771352 20926082 22157028 31389123 41852164 44314056 62778246 83704328 94167369 125556492 188334738 188950211 251112984 376669476 377900422 566850633 753338952 755800844 1133701266 1511601688 1700551899 2267402532 3212153587 3401103798 4534805064 6424307174 6802207596 9636460761 12848614348 13604415192 19272921522 25697228696 28909382283 38545843044 57818764566 77091686088 115637529132 231275058264