Search a number
-
+
19329984520 = 2357311263487
BaseRepresentation
bin10010000000001010…
…000010100000001000
31211220010202221210121
4102000022002200020
5304041434001040
612514032353024
71253005105000
oct220012024010
954803687717
1019329984520
11821a2aa520
1238b56a5774
131a90936482
14d15315000
1578201cc4a
hex480282808

19329984520 has 256 divisors, whose sum is σ = 55655424000. Its totient is φ = 5989697280.

The previous prime is 19329984503. The next prime is 19329984547. The reversal of 19329984520 is 2548992391.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39691717 + ... + 39692203.

It is an arithmetic number, because the mean of its divisors is an integer number (217404000).

Almost surely, 219329984520 is an apocalyptic number.

19329984520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19329984520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27827712000).

19329984520 is an abundant number, since it is smaller than the sum of its proper divisors (36325439480).

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

19329984520 is a wasteful number, since it uses less digits than its factorization.

19329984520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 19329984520 in words is "nineteen billion, three hundred twenty-nine million, nine hundred eighty-four thousand, five hundred twenty".