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56743034880 = 21735721931
BaseRepresentation
bin110100110110001001…
…100000000000000000
312102110112000211112110
4310312021200000000
51412202204104010
642022320055320
74046100560400
oct646611400000
9172415024473
1056743034880
1122078a66a54
12abb7164540
135473a64bac
142a640ba800
151721851120
hexd36260000

56743034880 has 864 divisors, whose sum is σ = 229511439360. Its totient is φ = 11890851840.

The previous prime is 56743034851. The next prime is 56743034903. The reversal of 56743034880 is 8843034765.

It is a super-2 number, since 2×567430348802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1830420465 + ... + 1830420495.

It is an arithmetic number, because the mean of its divisors is an integer number (265638240).

Almost surely, 256743034880 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 56743034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114755719680).

56743034880 is an abundant number, since it is smaller than the sum of its proper divisors (172768404480).

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

56743034880 is an equidigital number, since it uses as much as digits as its factorization.

56743034880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 56743034880 in words is "fifty-six billion, seven hundred forty-three million, thirty-four thousand, eight hundred eighty".