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56703559680 = 2113352337241
BaseRepresentation
bin110100110011110010…
…111010100000000000
312102100202202021202000
4310303302322200000
51412112102402210
642014350024000
74045111206345
oct646362724000
9172322667660
1056703559680
1122058754719
12aba5aa8000
1354688231a1
142a5cb627cc
15171d154ac0
hexd33cba800

56703559680 has 768 divisors, whose sum is σ = 216907891200. Its totient is φ = 14014218240.

The previous prime is 56703559673. The next prime is 56703559709. The reversal of 56703559680 is 8695530765.

56703559680 is a `hidden beast` number, since 5 + 6 + 7 + 0 + 3 + 559 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 235284360 + ... + 235284600.

It is an arithmetic number, because the mean of its divisors is an integer number (282432150).

Almost surely, 256703559680 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 56703559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108453945600).

56703559680 is an abundant number, since it is smaller than the sum of its proper divisors (160204331520).

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

56703559680 is a wasteful number, since it uses less digits than its factorization.

56703559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 56703559680 in words is "fifty-six billion, seven hundred three million, five hundred fifty-nine thousand, six hundred eighty".