Search a number
-
+
56328894720 = 2833572293137
BaseRepresentation
bin110100011101011101…
…101011100100000000
312101101122202100001000
4310131131223210000
51410330144112340
641513243412000
74032611463600
oct643535534400
9171348670030
1056328894720
112198621335a
12ab00524000
135409012447
142a250b4c00
1516ea2e7d30
hexd1d76b900

56328894720 has 1728 divisors, whose sum is σ = 255012710400. Its totient is φ = 11705057280.

The previous prime is 56328894709. The next prime is 56328894737. The reversal of 56328894720 is 2749882365.

56328894720 is a `hidden beast` number, since 563 + 2 + 8 + 8 + 9 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 1522402542 + ... + 1522402578.

It is an arithmetic number, because the mean of its divisors is an integer number (147576800).

Almost surely, 256328894720 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 56328894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127506355200).

56328894720 is an abundant number, since it is smaller than the sum of its proper divisors (198683815680).

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

56328894720 is a wasteful number, since it uses less digits than its factorization.

56328894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 56328894720 in words is "fifty-six billion, three hundred twenty-eight million, eight hundred ninety-four thousand, seven hundred twenty".