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56608241184 = 25321128112003
BaseRepresentation
bin110100101110000111…
…010011011000100000
312102010010101121100100
4310232013103120200
51411413202204214
642001103022400
74042543053015
oct645607233040
9172103347310
1056608241184
1122009970500
12ab79b9aa00
135451b5b501
142a5022d70c
151714ac7309
hexd2e1d3620

56608241184 has 216 divisors, whose sum is σ = 177251242896. Its totient is φ = 17124307200.

The previous prime is 56608241167. The next prime is 56608241203. The reversal of 56608241184 is 48114280665.

It is a happy number.

56608241184 is a `hidden beast` number, since 5 + 6 + 608 + 24 + 1 + 18 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28260727 + ... + 28262729.

It is an arithmetic number, because the mean of its divisors is an integer number (820607606).

Almost surely, 256608241184 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 56608241184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88625621448).

56608241184 is an abundant number, since it is smaller than the sum of its proper divisors (120643001712).

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

56608241184 is a wasteful number, since it uses less digits than its factorization.

56608241184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

It can be divided in two parts, 56608 and 241184, that added together give a palindrome (297792).

The spelling of 56608241184 in words is "fifty-six billion, six hundred eight million, two hundred forty-one thousand, one hundred eighty-four".