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23632424928 = 25327233141401
BaseRepresentation
bin10110000000100110…
…100010111111100000
32020222222120120111100
4112000212202333200
5341344400044203
614505004514400
71464430204020
oct260046427740
966888516440
1023632424928
11a0279846a2
1246b654ba00
1322c80cb6b8
1412028b5a80
15934ad4ea3
hex5809a2fe0

23632424928 has 576 divisors, whose sum is σ = 84959207424. Its totient is φ = 6082560000.

The previous prime is 23632424899. The next prime is 23632424947. The reversal of 23632424928 is 82942423632.

23632424928 is a `hidden beast` number, since 2 + 3 + 632 + 4 + 2 + 4 + 9 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58933528 + ... + 58933928.

It is an arithmetic number, because the mean of its divisors is an integer number (147498624).

Almost surely, 223632424928 is an apocalyptic number.

23632424928 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 23632424928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42479603712).

23632424928 is an abundant number, since it is smaller than the sum of its proper divisors (61326782496).

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

23632424928 is a wasteful number, since it uses less digits than its factorization.

23632424928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

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

The spelling of 23632424928 in words is "twenty-three billion, six hundred thirty-two million, four hundred twenty-four thousand, nine hundred twenty-eight".