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5313139920 = 2434511131569
BaseRepresentation
bin1001111001011000…
…00001010011010000
3111201021121110210000
410330230001103100
541340130434140
62235115010000
7245443641564
oct47454012320
914637543700
105313139920
112287146730
121043439900
136689aa49a
143858d56a4
152116ada30
hex13cb014d0

5313139920 has 400 divisors, whose sum is σ = 20320217280. Its totient is φ = 1275955200.

The previous prime is 5313139913. The next prime is 5313139943. The reversal of 5313139920 is 299313135.

5313139920 is a `hidden beast` number, since 531 + 3 + 1 + 39 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9337396 + ... + 9337964.

Almost surely, 25313139920 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 5313139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160108640).

5313139920 is an abundant number, since it is smaller than the sum of its proper divisors (15007077360).

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

5313139920 is a wasteful number, since it uses less digits than its factorization.

5313139920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 5313139920 is about 72891.2883683640. The cubic root of 5313139920 is about 1744.9530691833.

The spelling of 5313139920 in words is "five billion, three hundred thirteen million, one hundred thirty-nine thousand, nine hundred twenty".