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23929942046976 = 2834722322112
BaseRepresentation
bin1010111000011100111111…
…01100011111100100000000
310010201200100210202110010000
411130032133230133210000
511114032010131000401
6122521132535040000
75016611162165100
oct534163754374400
9103650323673100
1023929942046976
1176966a4484679
122825949210000
1310477789537a4
145ca302dbb200
152b77155d4186
hex15c39fb1f900

23929942046976 has 1215 divisors, whose sum is σ = 87183496483083. Its totient is φ = 6508865341440.

The previous prime is 23929942046939. The next prime is 23929942047019. The reversal of 23929942046976 is 67964024992932.

The square root of 23929942046976 is 4891824.

It is a perfect power (a square), and thus also a powerful number.

23929942046976 is a `hidden beast` number, since 2 + 3 + 9 + 2 + 9 + 94 + 2 + 0 + 469 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 113412047511 + ... + 113412047721.

Almost surely, 223929942046976 is an apocalyptic number.

23929942046976 is the 4891824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23929942046976

23929942046976 is an abundant number, since it is smaller than the sum of its proper divisors (63253554436107).

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

23929942046976 is an frugal number, since it uses more digits than its factorization.

23929942046976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 23929942046976 in words is "twenty-three trillion, nine hundred twenty-nine billion, nine hundred forty-two million, forty-six thousand, nine hundred seventy-six".