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21358328320 = 29572973563
BaseRepresentation
bin10011111001000011…
…100011101000000000
32001010111110111102001
4103321003203220000
5322220213001240
613451211033344
71354164536530
oct237103435000
961114414361
1021358328320
11907024620a
124180a3b854
132024c259c4
14106886b4c0
1585012d89a
hex4f90e3a00

21358328320 has 320 divisors, whose sum is σ = 61482136320. Its totient is φ = 6961102848.

The previous prime is 21358328249. The next prime is 21358328347. The reversal of 21358328320 is 2382385312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 21358328320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37936359 + ... + 37936921.

It is an arithmetic number, because the mean of its divisors is an integer number (192131676).

Almost surely, 221358328320 is an apocalyptic number.

21358328320 is a gapful number since it is divisible by the number (20) 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 21358328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30741068160).

21358328320 is an abundant number, since it is smaller than the sum of its proper divisors (40123808000).

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

21358328320 is an equidigital number, since it uses as much as digits as its factorization.

21358328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 21358328320 in words is "twenty-one billion, three hundred fifty-eight million, three hundred twenty-eight thousand, three hundred twenty".