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5039832960 = 27345191509
BaseRepresentation
bin1001011000110010…
…11011111110000000
3111000020100001010000
410230121123332000
540310144123320
62152033040000
7235614605361
oct45431337600
914006301100
105039832960
112156944108
12b879b6000
136241973a6
1435b4adb68
151e76c3c90
hex12c65bf80

5039832960 has 320 divisors, whose sum is σ = 18127929600. Its totient is φ = 1334292480.

The previous prime is 5039832943. The next prime is 5039832997. The reversal of 5039832960 is 692389305.

5039832960 is a `hidden beast` number, since 503 + 9 + 83 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 9901186 + ... + 9901694.

It is an arithmetic number, because the mean of its divisors is an integer number (56649780).

Almost surely, 25039832960 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 5039832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9063964800).

5039832960 is an abundant number, since it is smaller than the sum of its proper divisors (13088096640).

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

5039832960 is a wasteful number, since it uses less digits than its factorization.

5039832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5039832960 is about 70991.7809327249. The cubic root of 5039832960 is about 1714.5048348479.

The spelling of 5039832960 in words is "five billion, thirty-nine million, eight hundred thirty-two thousand, nine hundred sixty".