Search a number
-
+
56085656303880 = 2332573141127913691
BaseRepresentation
bin11001100000010011101011…
…00111101111100100001000
321100120201212211010220021100
430300021311213233210020
524322401411003211010
6315141221140141400
714546024563461630
oct1460116547574410
9240521784126240
1056085656303880
111696387a919425
126359938997860
13253ab159c6848
14dbc7bb4756c0
15673db395d2c0
hex3302759ef908

56085656303880 has 768 divisors, whose sum is σ = 220471256678400. Its totient is φ = 12093110784000.

The previous prime is 56085656303843. The next prime is 56085656303899. The reversal of 56085656303880 is 8830365658065.

56085656303880 is a `hidden beast` number, since 5 + 6 + 0 + 8 + 565 + 6 + 30 + 38 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4096527835 + ... + 4096541525.

It is an arithmetic number, because the mean of its divisors is an integer number (287071948800).

Almost surely, 256085656303880 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 56085656303880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110235628339200).

56085656303880 is an abundant number, since it is smaller than the sum of its proper divisors (164385600374520).

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

56085656303880 is a wasteful number, since it uses less digits than its factorization.

56085656303880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15066 (or 15059 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 56085656303880 in words is "fifty-six trillion, eighty-five billion, six hundred fifty-six million, three hundred three thousand, eight hundred eighty".