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15930224640 = 2123651197
BaseRepresentation
bin11101101011000001…
…11111000000000000
31112010012112021000000
432311200333000000
5230111114142030
611152424000000
71102523450421
oct166540770000
945105467000
1015930224640
116835218610
123107000000
13166b495a35
14ab19ab648
15633811860
hex3b583f000

15930224640 has 728 divisors, whose sum is σ = 63170695728. Its totient is φ = 3822059520.

The previous prime is 15930224633. The next prime is 15930224641. The reversal of 15930224640 is 4642203951.

It is a happy number.

15930224640 is a `hidden beast` number, since 1 + 5 + 9 + 3 + 0 + 2 + 2 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 15930224595 and 15930224604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15930224641) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 164229072 + ... + 164229168.

Almost surely, 215930224640 is an apocalyptic number.

15930224640 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 15930224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31585347864).

15930224640 is an abundant number, since it is smaller than the sum of its proper divisors (47240471088).

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

15930224640 is an frugal number, since it uses more digits than its factorization.

15930224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 15930224640 in words is "fifteen billion, nine hundred thirty million, two hundred twenty-four thousand, six hundred forty".