Search a number
-
+
56331168768 = 21034797021
BaseRepresentation
bin110100011101100110…
…010110110000000000
312101101211000212110000
4310131212112300000
51410331234400033
641513404240000
74032640014510
oct643546266000
9171354025400
1056331168768
1121987526936
12ab01240000
13540962a534
142a25507840
1516ea5e6a13
hexd1d996c00

56331168768 has 220 divisors, whose sum is σ = 192248704912. Its totient is φ = 16094453760.

The previous prime is 56331168713. The next prime is 56331168781. The reversal of 56331168768 is 86786113365.

56331168768 is a `hidden beast` number, since 563 + 3 + 1 + 1 + 6 + 8 + 76 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 532098 + ... + 629118.

Almost surely, 256331168768 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 56331168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96124352456).

56331168768 is an abundant number, since it is smaller than the sum of its proper divisors (135917536144).

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

56331168768 is an equidigital number, since it uses as much as digits as its factorization.

56331168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97060 (or 97033 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 56331168768 in words is "fifty-six billion, three hundred thirty-one million, one hundred sixty-eight thousand, seven hundred sixty-eight".