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9797215680 = 26355741439
BaseRepresentation
bin10010001111111010…
…11010010111000000
3221021210012010100000
421013331122113000
5130031041400210
64300100200000
7464532650010
oct110775322700
927253163300
109797215680
11417830016a
121a95099000
13c01999a55
1468d257c40
153c51a3ac0
hex247f5a5c0

9797215680 has 672 divisors, whose sum is σ = 41006085120. Its totient is φ = 2179768320.

The previous prime is 9797215679. The next prime is 9797215739. The reversal of 9797215680 is 865127979.

9797215680 is a `hidden beast` number, since 9 + 7 + 9 + 72 + 1 + 568 + 0 = 666.

9797215680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22316901 + ... + 22317339.

It is an arithmetic number, because the mean of its divisors is an integer number (61020960).

Almost surely, 29797215680 is an apocalyptic number.

9797215680 is a gapful number since it is divisible by the number (90) 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 9797215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20503042560).

9797215680 is an abundant number, since it is smaller than the sum of its proper divisors (31208869440).

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

9797215680 is a wasteful number, since it uses less digits than its factorization.

9797215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 9797215680 is about 98980.8854274400. The cubic root of 9797215680 is about 2139.7722761145.

The spelling of 9797215680 in words is "nine billion, seven hundred ninety-seven million, two hundred fifteen thousand, six hundred eighty".