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56753299680 = 253571113911047
BaseRepresentation
bin110100110110110000…
…101010000011100000
312102111020100100012020
4310312300222003200
51412212321042210
642023324101440
74046254042050
oct646660520340
9172436310166
1056753299680
1122083838060
12abba694880
135475c1a13c
142a655cd560
1517226cc770
hexd36c2a0e0

56753299680 has 384 divisors, whose sum is σ = 224509501440. Its totient is φ = 11706992640.

The previous prime is 56753299663. The next prime is 56753299699. The reversal of 56753299680 is 8699235765.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5131917 + ... + 5142963.

It is an arithmetic number, because the mean of its divisors is an integer number (584660160).

Almost surely, 256753299680 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 56753299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112254750720).

56753299680 is an abundant number, since it is smaller than the sum of its proper divisors (167756201760).

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

56753299680 is a wasteful number, since it uses less digits than its factorization.

56753299680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222 (or 11214 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 56753299680 in words is "fifty-six billion, seven hundred fifty-three million, two hundred ninety-nine thousand, six hundred eighty".