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57234314880 = 27375103397
BaseRepresentation
bin110101010011011011…
…100101011010000000
312110201202110110000000
4311103123211122000
51414203441034010
642143150000000
74064214435531
oct652333453200
9173652413000
1057234314880
1122300307986
12b1137a6000
135521785c12
142aad442688
15174ea457c0
hexd536e5680

57234314880 has 512 divisors, whose sum is σ = 207721612800. Its totient is φ = 15076233216.

The previous prime is 57234314867. The next prime is 57234314887. The reversal of 57234314880 is 8841343275.

57234314880 is a `hidden beast` number, since 572 + 3 + 4 + 31 + 48 + 8 + 0 = 666.

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 (57234314887) 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 63 ways as a sum of consecutive naturals, for example, 144166842 + ... + 144167238.

It is an arithmetic number, because the mean of its divisors is an integer number (405706275).

Almost surely, 257234314880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57234314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103860806400).

57234314880 is an abundant number, since it is smaller than the sum of its proper divisors (150487297920).

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

57234314880 is an equidigital number, since it uses as much as digits as its factorization.

57234314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 57234314880 in words is "fifty-seven billion, two hundred thirty-four million, three hundred fourteen thousand, eight hundred eighty".