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23252520960 = 212345107131
BaseRepresentation
bin10101101001111101…
…010101000000000000
32020000111201110020000
4111221331111000000
5340110121132320
614403154120000
71452135111204
oct255175250000
966014643200
1023252520960
119952495179
12460b280000
1322674a5156
1411a8262b04
15911590c90
hex569f55000

23252520960 has 520 divisors, whose sum is σ = 84775670496. Its totient is φ = 6095831040.

The previous prime is 23252520923. The next prime is 23252520971. The reversal of 23252520960 is 6902525232.

It is a happy number.

23252520960 is a `hidden beast` number, since 23 + 2 + 52 + 520 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177500095 + ... + 177500225.

Almost surely, 223252520960 is an apocalyptic number.

23252520960 is a gapful number since it is divisible by the number (20) 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 23252520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42387835248).

23252520960 is an abundant number, since it is smaller than the sum of its proper divisors (61523149536).

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

23252520960 is a wasteful number, since it uses less digits than its factorization.

23252520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 23252520960 in words is "twenty-three billion, two hundred fifty-two million, five hundred twenty thousand, nine hundred sixty".