Search a number
-
+
56321895168 = 2832731121931
BaseRepresentation
bin110100011101000010…
…111110101100000000
312101101011120201110100
4310131002332230000
51410321401121133
641512433402400
74032465132000
oct643502765400
9171334521410
1056321895168
1121982272500
12aaba109400
1354077314b6
142a241b2000
1516e98b3e13
hexd1d0beb00

56321895168 has 1296 divisors, whose sum is σ = 226180864000. Its totient is φ = 13412044800.

The previous prime is 56321895131. The next prime is 56321895197. The reversal of 56321895168 is 86159812365.

56321895168 is a `hidden beast` number, since 563 + 2 + 18 + 9 + 5 + 1 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1816835313 + ... + 1816835343.

Almost surely, 256321895168 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 56321895168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113090432000).

56321895168 is an abundant number, since it is smaller than the sum of its proper divisors (169858968832).

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

56321895168 is a wasteful number, since it uses less digits than its factorization.

56321895168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 73 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 56321895168 in words is "fifty-six billion, three hundred twenty-one million, eight hundred ninety-five thousand, one hundred sixty-eight".