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9920069568 = 2633171272659
BaseRepresentation
bin10010011110100100…
…00011111111000000
3221121100100202012000
421033102003333000
5130304014211233
64320205304000
7500554125423
oct111722037700
927540322160
109920069568
114230691102
121b0a265000
13c21282966
146a16b79ba
153d0d6ed13
hex24f483fc0

9920069568 has 224 divisors, whose sum is σ = 31133491200. Its totient is φ = 3086512128.

The previous prime is 9920069563. The next prime is 9920069581. The reversal of 9920069568 is 8659600299.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9920069563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3729423 + ... + 3732081.

It is an arithmetic number, because the mean of its divisors is an integer number (138988800).

Almost surely, 29920069568 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 9920069568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15566745600).

9920069568 is an abundant number, since it is smaller than the sum of its proper divisors (21213421632).

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

9920069568 is a wasteful number, since it uses less digits than its factorization.

9920069568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 9920069568 is about 99599.5460230618. The cubic root of 9920069568 is about 2148.6791647808.

The spelling of 9920069568 in words is "nine billion, nine hundred twenty million, sixty-nine thousand, five hundred sixty-eight".