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23623630464 = 2737231392749
BaseRepresentation
bin10110000000000100…
…111111111010000000
32020222101000202202110
4112000010333322000
5341340122133324
614504052215320
71464262355130
oct260004777200
966871022673
1023623630464
11a022a18245
1246b360a540
1322c633c785
141201666ac0
15933e49329
hex58013fe80

23623630464 has 256 divisors, whose sum is σ = 75398400000. Its totient is φ = 6407368704.

The previous prime is 23623630447. The next prime is 23623630493. The reversal of 23623630464 is 46403632632.

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, 8592162 + ... + 8594910.

It is an arithmetic number, because the mean of its divisors is an integer number (294525000).

Almost surely, 223623630464 is an apocalyptic number.

23623630464 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 23623630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37699200000).

23623630464 is an abundant number, since it is smaller than the sum of its proper divisors (51774769536).

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

23623630464 is a wasteful number, since it uses less digits than its factorization.

23623630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 39.

The spelling of 23623630464 in words is "twenty-three billion, six hundred twenty-three million, six hundred thirty thousand, four hundred sixty-four".