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5159780352 = 21839
BaseRepresentation
bin1001100111000110…
…00000000000000000
3111022121001000000000
410303203000000000
541031400432402
62212000000000
7241602260256
oct46343000000
914277030000
105159780352
11220861a391
121000000000
13642ca338c
1436d3b45d6
15202eb8c1c
hex1338c0000

5159780352 has 190 divisors, whose sum is σ = 15479049388. Its totient is φ = 1719926784.

The previous prime is 5159780333. The next prime is 5159780383. The reversal of 5159780352 is 2530879515.

The cubic root of 5159780352 is 1728.

It is a perfect power (a cube, a 9-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)4 ⋅ (3!)5 ⋅ 2!.

5159780352 is a `hidden beast` number, since 5 + 1 + 597 + 8 + 0 + 3 + 52 = 666.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 5159780298 and 5159780307.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1719926783 + 1719926784 + 1719926785.

Almost surely, 25159780352 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 5159780352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739524694).

5159780352 is an abundant number, since it is smaller than the sum of its proper divisors (10319269036).

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

5159780352 is an frugal number, since it uses more digits than its factorization.

5159780352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 5159780352 is about 71831.6110914965.

The spelling of 5159780352 in words is "five billion, one hundred fifty-nine million, seven hundred eighty thousand, three hundred fifty-two".