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20320770960 = 24325729413391
BaseRepresentation
bin10010111011001101…
…100101101110010000
31221110012010010021200
4102323031211232100
5313104104132320
613200224351200
71316365463130
oct227315455620
957405103250
1020320770960
1186885aaa96
123b31475500
131bbac98a39
14daab44ac0
157ddece290
hex4bb365b90

20320770960 has 480 divisors, whose sum is σ = 82674708480. Its totient is φ = 4373913600.

The previous prime is 20320770947. The next prime is 20320771013. The reversal of 20320770960 is 6907702302.

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

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, 5990865 + ... + 5994255.

It is an arithmetic number, because the mean of its divisors is an integer number (172238976).

Almost surely, 220320770960 is an apocalyptic number.

20320770960 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 20320770960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41337354240).

20320770960 is an abundant number, since it is smaller than the sum of its proper divisors (62353937520).

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

20320770960 is a wasteful number, since it uses less digits than its factorization.

20320770960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 20320770960 in words is "twenty billion, three hundred twenty million, seven hundred seventy thousand, nine hundred sixty".