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253216240058880 = 293557173420569
BaseRepresentation
bin111001100100110010000000…
…000010100100001000000000
31020012120020101010212202100000
4321210302000002210020000
5231142143324423341010
62254313533525200000
7104223161324336340
oct7144620002441000
91205506333782300
10253216240058880
117375644a1a797a
1224497006560000
13ab3a25c2589c7
144675a34dc6d20
151e41b074cb7c0
hexe64c800a4200

253216240058880 has 960 divisors, whose sum is σ = 1100497961122560. Its totient is φ = 54473393700864.

The previous prime is 253216240058879. The next prime is 253216240058909. The reversal of 253216240058880 is 88850042612352.

253216240058880 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 1 + 624 + 0 + 0 + 5 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 72317236 + ... + 75737804.

It is an arithmetic number, because the mean of its divisors is an integer number (1146352042836).

Almost surely, 2253216240058880 is an apocalyptic number.

253216240058880 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 253216240058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550248980561280).

253216240058880 is an abundant number, since it is smaller than the sum of its proper divisors (847281721063680).

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

253216240058880 is an equidigital number, since it uses as much as digits as its factorization.

253216240058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420631 (or 3420603 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 253216240058880 in words is "two hundred fifty-three trillion, two hundred sixteen billion, two hundred forty million, fifty-eight thousand, eight hundred eighty".