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23031658944 = 26327219291481
BaseRepresentation
bin10101011100110010…
…110011100111000000
32012110010010111111100
4111130302303213000
5334132101041234
614325224214400
71443513604500
oct253462634700
965403114440
1023031658944
119849853288
12456930a400
1322307c5278
141186bada00
158ebeb5399
hex55ccb39c0

23031658944 has 504 divisors, whose sum is σ = 83679944400. Its totient is φ = 6015098880.

The previous prime is 23031658933. The next prime is 23031658967. The reversal of 23031658944 is 44985613032.

23031658944 is a `hidden beast` number, since 2 + 30 + 31 + 6 + 589 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 23031658944.

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 71 ways as a sum of consecutive naturals, for example, 15550684 + ... + 15552164.

Almost surely, 223031658944 is an apocalyptic number.

23031658944 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 23031658944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41839972200).

23031658944 is an abundant number, since it is smaller than the sum of its proper divisors (60648285456).

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

23031658944 is a wasteful number, since it uses less digits than its factorization.

23031658944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 23031658944 in words is "twenty-three billion, thirty-one million, six hundred fifty-eight thousand, nine hundred forty-four".