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20641120992 = 2532431166289
BaseRepresentation
bin10011001110010011…
…101000001011100000
31222021111220120220200
4103032103220023200
5314233111332432
613252110505200
71330335430212
oct231623501340
958244816820
1020641120992
118832413788
124000805200
131c3c47037b
14ddb4d45b2
1580c1aca7c
hex4ce4e82e0

20641120992 has 72 divisors (see below), whose sum is σ = 58834732320. Its totient is φ = 6864368640.

The previous prime is 20641120987. The next prime is 20641120993. The reversal of 20641120992 is 29902114602.

20641120992 is a `hidden beast` number, since 2 + 0 + 641 + 1 + 2 + 0 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20641120993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40984 + ... + 207272.

It is an arithmetic number, because the mean of its divisors is an integer number (817149060).

Almost surely, 220641120992 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 20641120992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29417366160).

20641120992 is an abundant number, since it is smaller than the sum of its proper divisors (38193611328).

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

20641120992 is a wasteful number, since it uses less digits than its factorization.

20641120992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166736 (or 166725 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 20641120992 in words is "twenty billion, six hundred forty-one million, one hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 431 862 1293 1724 2586 3448 3879 5172 6896 7758 10344 13792 15516 20688 31032 41376 62064 124128 166289 332578 498867 665156 997734 1330312 1496601 1995468 2660624 2993202 3990936 5321248 5986404 7981872 11972808 15963744 23945616 47891232 71670559 143341118 215011677 286682236 430023354 573364472 645035031 860046708 1146728944 1290070062 1720093416 2293457888 2580140124 3440186832 5160280248 6880373664 10320560496 20641120992