Search a number
-
+
23056524288 = 21035723161
BaseRepresentation
bin10101011110010001…
…101010010000000000
32012111211220210100000
4111132101222100000
5334204432234123
614331513200000
71444235136300
oct253621522000
965454823300
1023056524288
119861896a56
124575700000
1322359c00a5
14118a203600
158ee277b43
hex55e46a400

23056524288 has 792 divisors, whose sum is σ = 84262773504. Its totient is φ = 6270566400.

The previous prime is 23056524251. The next prime is 23056524299. The reversal of 23056524288 is 88242565032.

23056524288 is a `hidden beast` number, since 2 + 3 + 0 + 565 + 2 + 4 + 2 + 88 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 377975778 + ... + 377975838.

Almost surely, 223056524288 is an apocalyptic number.

23056524288 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 23056524288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42131386752).

23056524288 is an abundant number, since it is smaller than the sum of its proper divisors (61206249216).

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

23056524288 is an equidigital number, since it uses as much as digits as its factorization.

23056524288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 23056524288 in words is "twenty-three billion, fifty-six million, five hundred twenty-four thousand, two hundred eighty-eight".