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56027324160 = 2836597619
BaseRepresentation
bin110100001011011111…
…010001111100000000
312100121122021222000000
4310023133101330000
51404220443333120
641423312000000
74022260253253
oct641337217400
9170548258000
1056027324160
1121840a66995
12aa37530000
13538b6b4822
1429d701309a
1516cdac8990
hexd0b7d1f00

56027324160 has 504 divisors, whose sum is σ = 203615144880. Its totient is φ = 14762704896.

The previous prime is 56027324137. The next prime is 56027324189. The reversal of 56027324160 is 6142372065.

56027324160 is a `hidden beast` number, since 5 + 602 + 7 + 3 + 2 + 41 + 6 + 0 = 666.

It is a super-2 number, since 2×560273241602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 90512331 + ... + 90512949.

Almost surely, 256027324160 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 56027324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101807572440).

56027324160 is an abundant number, since it is smaller than the sum of its proper divisors (147587820720).

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

56027324160 is an frugal number, since it uses more digits than its factorization.

56027324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 56027324160 in words is "fifty-six billion, twenty-seven million, three hundred twenty-four thousand, one hundred sixty".