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56693882880 = 21935589
BaseRepresentation
bin110100110011001110…
…000000000000000000
312102100002112122200000
4310303032000000000
51412102113223010
642013402400000
74044633024165
oct646316000000
9172302478600
1056693882880
1122053245368
12aba2800000
13546681577b
142a5b76406c
15171c3927c0
hexd33380000

56693882880 has 480 divisors, whose sum is σ = 206107902000. Its totient is φ = 14948499456.

The previous prime is 56693882863. The next prime is 56693882881. The reversal of 56693882880 is 8828839665.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×566938828802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56693882881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637009876 + ... + 637009964.

Almost surely, 256693882880 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 56693882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103053951000).

56693882880 is an abundant number, since it is smaller than the sum of its proper divisors (149414019120).

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

56693882880 is an frugal number, since it uses more digits than its factorization.

56693882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 56693882880 in words is "fifty-six billion, six hundred ninety-three million, eight hundred eighty-two thousand, eight hundred eighty".