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20320818912 = 25324389103179
BaseRepresentation
bin10010111011001101…
…110001011011100000
31221110012012120001200
4102323031301123200
5313104112201122
613200225401200
71316366053002
oct227315613340
957405176050
1020320818912
118688633019
123b31499200
131bbacb4804
14daab58372
157ddedd5ac
hex4bb3716e0

20320818912 has 288 divisors, whose sum is σ = 60713452800. Its totient is φ = 6442039296.

The previous prime is 20320818899. The next prime is 20320818943. The reversal of 20320818912 is 21981802302.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 113524039 + ... + 113524217.

It is an arithmetic number, because the mean of its divisors is an integer number (210810600).

Almost surely, 220320818912 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 20320818912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30356726400).

20320818912 is an abundant number, since it is smaller than the sum of its proper divisors (40392633888).

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

20320818912 is a wasteful number, since it uses less digits than its factorization.

20320818912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 20320818912 in words is "twenty billion, three hundred twenty million, eight hundred eighteen thousand, nine hundred twelve".