Search a number
-
+
56024226720 = 25345711311811
BaseRepresentation
bin110100001011010011…
…011101101110100000
312100121102110121010000
4310023103131232200
51404214200223340
641423121340000
74022222032650
oct641323355640
9170542417100
1056024226720
112183a240820
12aa36497600
13538ab6ba17
1429d6848360
1516cd6b5d30
hexd0b4ddba0

56024226720 has 960 divisors, whose sum is σ = 254598930432. Its totient is φ = 11259648000.

The previous prime is 56024226697. The next prime is 56024226779. The reversal of 56024226720 is 2762242065.

56024226720 is a `hidden beast` number, since 5 + 602 + 4 + 2 + 26 + 7 + 20 = 666.

56024226720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30934615 + ... + 30936425.

Almost surely, 256024226720 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 56024226720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127299465216).

56024226720 is an abundant number, since it is smaller than the sum of its proper divisors (198574703712).

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

56024226720 is a wasteful number, since it uses less digits than its factorization.

56024226720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 56024226720 its reverse (2762242065), we get a palindrome (58786468785).

The spelling of 56024226720 in words is "fifty-six billion, twenty-four million, two hundred twenty-six thousand, seven hundred twenty".