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252504910080 = 28325313532003
BaseRepresentation
bin1110101100101001110…
…1110010100100000000
3220010202111112110202200
43223022131302210000
513114112224110310
6311555452313200
724146210215413
oct3531235624400
9803674473680
10252504910080
11980a5491275
1240b2b472800
131aa7101a1c7
14c31537db7a
15687cbb49c0
hex3aca772900

252504910080 has 432 divisors, whose sum is σ = 904828893696. Its totient is φ = 64945520640.

The previous prime is 252504910061. The next prime is 252504910081. The reversal of 252504910080 is 80019405252.

252504910080 is a `hidden beast` number, since 2 + 525 + 0 + 49 + 10 + 0 + 80 = 666.

252504910080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2525049100802 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (252504910081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126062359 + ... + 126064361.

It is an arithmetic number, because the mean of its divisors is an integer number (2094511328).

Almost surely, 2252504910080 is an apocalyptic number.

252504910080 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 252504910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452414446848).

252504910080 is an abundant number, since it is smaller than the sum of its proper divisors (652323983616).

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

252504910080 is a wasteful number, since it uses less digits than its factorization.

252504910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 252504910080 in words is "two hundred fifty-two billion, five hundred four million, nine hundred ten thousand, eighty".