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23996816064 = 26321329591873
BaseRepresentation
bin10110010110010100…
…100101101011000000
32021221101020120011100
4112112110211223000
5343121141103224
615005103014400
71506443366604
oct262624455300
967841216140
1023996816064
11a1a46390a1
12479859a400
132355753060
14123904b504
15956ab2ac9
hex596525ac0

23996816064 has 336 divisors, whose sum is σ = 77968144800. Its totient is φ = 7004454912.

The previous prime is 23996816033. The next prime is 23996816069. The reversal of 23996816064 is 46061869932.

23996816064 is a `hidden beast` number, since 23 + 9 + 9 + 6 + 8 + 1 + 606 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23996816064.

It is not an unprimeable number, because it can be changed into a prime (23996816069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12811032 + ... + 12812904.

It is an arithmetic number, because the mean of its divisors is an integer number (232048050).

Almost surely, 223996816064 is an apocalyptic number.

23996816064 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 23996816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38984072400).

23996816064 is an abundant number, since it is smaller than the sum of its proper divisors (53971328736).

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

23996816064 is a wasteful number, since it uses less digits than its factorization.

23996816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 23996816064 in words is "twenty-three billion, nine hundred ninety-six million, eight hundred sixteen thousand, sixty-four".