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56576415616 = 27717241732
BaseRepresentation
bin110100101100001101…
…111001011110000000
312102000220111200212121
4310230031321132000
51411332030244431
641554004534024
74042005412060
oct645415713600
9172026450777
1056576415616
1121aa2a03486
12ab6b3b1314
135448397606
142a49d073a0
151711ddc611
hexd2c379780

56576415616 has 288 divisors, whose sum is σ = 142119215280. Its totient is φ = 21959147520.

The previous prime is 56576415601. The next prime is 56576415713. The reversal of 56576415616 is 61651467565.

Its product of digits (4536000) is a multiple of the sum of its prime divisors (140).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 775019356 + ... + 775019428.

Almost surely, 256576415616 is an apocalyptic number.

56576415616 is a gapful number since it is divisible by the number (56) 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 56576415616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71059607640).

56576415616 is an abundant number, since it is smaller than the sum of its proper divisors (85542799664).

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

56576415616 is an equidigital number, since it uses as much as digits as its factorization.

56576415616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 140 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 52.

The spelling of 56576415616 in words is "fifty-six billion, five hundred seventy-six million, four hundred fifteen thousand, six hundred sixteen".