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23630823468 = 22337314124593
BaseRepresentation
bin10110000000100000…
…011100000000101100
32020222212120012201000
4112000200130000230
5341343442322333
614504510320300
71464410454030
oct260040340054
966885505630
1023630823468
11a026a9047a
1246b5ab9090
1322c798a7a5
1412025ba1c0
159348ba713
hex58081c02c

23630823468 has 192 divisors, whose sum is σ = 74041712640. Its totient is φ = 6374246400.

The previous prime is 23630823421. The next prime is 23630823521. The reversal of 23630823468 is 86432803632.

23630823468 is a `hidden beast` number, since 2 + 3 + 630 + 8 + 2 + 3 + 4 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 948580 + ... + 973172.

It is an arithmetic number, because the mean of its divisors is an integer number (385633920).

Almost surely, 223630823468 is an apocalyptic number.

23630823468 is a gapful number since it is divisible by the number (28) 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 23630823468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37020856320).

23630823468 is an abundant number, since it is smaller than the sum of its proper divisors (50410889172).

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

23630823468 is a wasteful number, since it uses less digits than its factorization.

23630823468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24685 (or 24677 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 23630823468 in words is "twenty-three billion, six hundred thirty million, eight hundred twenty-three thousand, four hundred sixty-eight".