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9896306560 = 275721719977
BaseRepresentation
bin10010011011101110…
…11010011110000000
3221112200122110110121
421031313122132000
5130231423302220
64314000110024
7500145134500
oct111567323600
927480573417
109896306560
114219230658
121b02305314
13c193827ca
1469c48da00
153cdc28eaa
hex24ddda780

9896306560 has 384 divisors, whose sum is σ = 30704896800. Its totient is φ = 3022258176.

The previous prime is 9896306557. The next prime is 9896306593. The reversal of 9896306560 is 656036989.

It is a happy number.

9896306560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9896306498 and 9896306507.

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 47 ways as a sum of consecutive naturals, for example, 10128792 + ... + 10129768.

Almost surely, 29896306560 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 9896306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352448400).

9896306560 is an abundant number, since it is smaller than the sum of its proper divisors (20808590240).

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

9896306560 is a wasteful number, since it uses less digits than its factorization.

9896306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The square root of 9896306560 is about 99480.1817449084. The cubic root of 9896306560 is about 2146.9621101452.

The spelling of 9896306560 in words is "nine billion, eight hundred ninety-six million, three hundred six thousand, five hundred sixty".