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5213725920 = 25335131743127
BaseRepresentation
bin1001101101100001…
…10010010011100000
3111110100112201102000
410312300302103200
541134203212140
62221204124000
7243125640054
oct46660622340
914410481360
105213725920
1122360154a7
121016096600
13651210630
14376617c64
15207ac2a30
hex136c324e0

5213725920 has 768 divisors, whose sum is σ = 21459271680. Its totient is φ = 1170505728.

The previous prime is 5213725873. The next prime is 5213725943. The reversal of 5213725920 is 295273125.

5213725920 is a `hidden beast` number, since 52 + 13 + 7 + 2 + 592 + 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41052897 + ... + 41053023.

It is an arithmetic number, because the mean of its divisors is an integer number (27941760).

Almost surely, 25213725920 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 5213725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10729635840).

5213725920 is an abundant number, since it is smaller than the sum of its proper divisors (16245545760).

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

5213725920 is a wasteful number, since it uses less digits than its factorization.

5213725920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5213725920 is about 72206.1349194097. The cubic root of 5213725920 is about 1734.0012212489.

The spelling of 5213725920 in words is "five billion, two hundred thirteen million, seven hundred twenty-five thousand, nine hundred twenty".