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252720192960 = 263251813671321
BaseRepresentation
bin1110101101011101001…
…1000001110111000000
3220011022111121222100200
43223113103001313000
513120032332133320
6312033102445200
724154433124324
oct3532723016700
9804274558320
10252720192960
11981a5a62504
1240b8b593800
131aaa67c5821
14c335bbd984
156891a3c290
hex3ad74c1dc0

252720192960 has 336 divisors, whose sum is σ = 877099746432. Its totient is φ = 66786508800.

The previous prime is 252720192937. The next prime is 252720192961. The reversal of 252720192960 is 69291027252.

252720192960 is a `hidden beast` number, since 2 + 527 + 20 + 19 + 2 + 96 + 0 = 666.

252720192960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252720192961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191309100 + ... + 191310420.

It is an arithmetic number, because the mean of its divisors is an integer number (2610415912).

Almost surely, 2252720192960 is an apocalyptic number.

252720192960 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 252720192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438549873216).

252720192960 is an abundant number, since it is smaller than the sum of its proper divisors (624379553472).

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

252720192960 is a wasteful number, since it uses less digits than its factorization.

252720192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 252720192960 in words is "two hundred fifty-two billion, seven hundred twenty million, one hundred ninety-two thousand, nine hundred sixty".