Search a number
-
+
56866245696 = 263613295361
BaseRepresentation
bin110100111101011111…
…100000110001000000
312102210002212121000000
4310331133200301000
51412430224330241
642042441000000
74052125053531
oct647537406100
9172702777000
1056866245696
1122131571077
12b030483000
1354934443c0
142a765d0688
15172c58ceb6
hexd3d7e0c40

56866245696 has 784 divisors, whose sum is σ = 195190475760. Its totient is φ = 16303472640.

The previous prime is 56866245673. The next prime is 56866245731. The reversal of 56866245696 is 69654266865.

56866245696 is a `hidden beast` number, since 5 + 6 + 8 + 6 + 62 + 4 + 569 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7464960000 + 49401285696 = 86400^2 + 222264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 932233506 + ... + 932233566.

Almost surely, 256866245696 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 56866245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97595237880).

56866245696 is an abundant number, since it is smaller than the sum of its proper divisors (138324230064).

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

56866245696 is a wasteful number, since it uses less digits than its factorization.

56866245696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 56866245696 in words is "fifty-six billion, eight hundred sixty-six million, two hundred forty-five thousand, six hundred ninety-six".