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23014652292 = 22321737605641
BaseRepresentation
bin10101011011110001…
…111011100110000100
32012101221010110202100
4111123301323212010
5334113222333132
614323415512100
71443216213432
oct253361734604
965357113670
1023014652292
1198401979a5
124563688630
13222a11c468
141184823d52
158ea75637c
hex55bc7b984

23014652292 has 36 divisors (see below), whose sum is σ = 61598041596. Its totient is φ = 7220282880.

The previous prime is 23014652267. The next prime is 23014652299. The reversal of 23014652292 is 29225641032.

23014652292 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 46 + 522 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20342175876 + 2672476416 = 142626^2 + 51696^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23014652299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18802209 + ... + 18803432.

It is an arithmetic number, because the mean of its divisors is an integer number (1711056711).

Almost surely, 223014652292 is an apocalyptic number.

It is an amenable number.

23014652292 is an abundant number, since it is smaller than the sum of its proper divisors (38583389304).

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

23014652292 is a wasteful number, since it uses less digits than its factorization.

23014652292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37605668 (or 37605663 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23014652292 in words is "twenty-three billion, fourteen million, six hundred fifty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 37605641 75211282 112816923 150422564 225633846 338450769 451267692 639295897 676901538 1278591794 1353803076 1917887691 2557183588 3835775382 5753663073 7671550764 11507326146 23014652292