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23992770816 = 2832724612
BaseRepresentation
bin10110010110000101…
…001010000100000000
32021221002122001010100
4112112011022010000
5343114122131231
615004440202400
71506364121100
oct262605120400
967832561110
1023992770816
11a1a2325913
124797169400
132354967a11
1412386b7200
159565641e6
hex59614a100

23992770816 has 243 divisors, whose sum is σ = 80646225933. Its totient is φ = 6840207360.

The previous prime is 23992770811. The next prime is 23992770839. The reversal of 23992770816 is 61807729932.

The square root of 23992770816 is 154896.

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

It can be written as a sum of positive squares in only one way, i.e., 7690588416 + 16302182400 = 87696^2 + 127680^2 .

It is not an unprimeable number, because it can be changed into a prime (23992770811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52044826 + ... + 52045286.

Almost surely, 223992770816 is an apocalyptic number.

23992770816 is the 154896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23992770816

23992770816 is an abundant number, since it is smaller than the sum of its proper divisors (56653455117).

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

23992770816 is an frugal number, since it uses more digits than its factorization.

23992770816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 23992770816 in words is "twenty-three billion, nine hundred ninety-two million, seven hundred seventy thousand, eight hundred sixteen".