Search a number
-
+
5624217232920 = 233351113233742793
BaseRepresentation
bin101000111010111110101…
…1110000110011000011000
3201220200002100222002011000
41101311331132012120120
51214121344102423140
615543421342105000
71120223226460566
oct121657536063030
921820070862130
105624217232920
111879243006640
1276a016b7b160
1331a491029ba0
141562dc052a36
159b473690a30
hex51d7d786618

5624217232920 has 1024 divisors, whose sum is σ = 23604211814400. Its totient is φ = 1171282083840.

The previous prime is 5624217232913. The next prime is 5624217232939. The reversal of 5624217232920 is 292327124265.

5624217232920 is a `hidden beast` number, since 5 + 624 + 2 + 17 + 2 + 3 + 2 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 131407044 + ... + 131449836.

It is an arithmetic number, because the mean of its divisors is an integer number (23050988100).

Almost surely, 25624217232920 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 5624217232920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11802105907200).

5624217232920 is an abundant number, since it is smaller than the sum of its proper divisors (17979994581480).

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

5624217232920 is a wasteful number, since it uses less digits than its factorization.

5624217232920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42897 (or 42887 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 5624217232920 in words is "five trillion, six hundred twenty-four billion, two hundred seventeen million, two hundred thirty-two thousand, nine hundred twenty".