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20944096992 = 2533713231661
BaseRepresentation
bin10011100000010111…
…011000111011100000
32000001122000100212000
4103200113120323200
5320343142100432
613342132404000
71341004613160
oct234027307340
960048010760
1020944096992
118978440075
124086176600
131c8a170900
1410298405a0
15828aa857c
hex4e05d8ee0

20944096992 has 576 divisors, whose sum is σ = 78153707520. Its totient is φ = 5337446400.

The previous prime is 20944096963. The next prime is 20944097003. The reversal of 20944096992 is 29969044902.

20944096992 is a `hidden beast` number, since 2 + 0 + 94 + 409 + 69 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31685142 + ... + 31685802.

It is an arithmetic number, because the mean of its divisors is an integer number (135683520).

Almost surely, 220944096992 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 20944096992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39076853760).

20944096992 is an abundant number, since it is smaller than the sum of its proper divisors (57209610528).

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

20944096992 is a wasteful number, since it uses less digits than its factorization.

20944096992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 20944096992 in words is "twenty billion, nine hundred forty-four million, ninety-six thousand, nine hundred ninety-two".