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9960885714 = 23133140110273
BaseRepresentation
bin10010100011011011…
…10000110111010010
3221201012011102102010
421101231300313102
5130344441320324
64324224203350
7501561063063
oct112155606722
927635142363
109960885714
11425172995a
121b1ba69556
13c29873b20
146a6ca056a
153d4733829
hex251b70dd2

9960885714 has 64 divisors (see below), whose sum is σ = 22203675648. Its totient is φ = 2958336000.

The previous prime is 9960885713. The next prime is 9960885889. The reversal of 9960885714 is 4175880699.

9960885714 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9960885713) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 964482 + ... + 974754.

It is an arithmetic number, because the mean of its divisors is an integer number (346932432).

Almost surely, 29960885714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9960885714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11101837824).

9960885714 is an abundant number, since it is smaller than the sum of its proper divisors (12242789934).

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

9960885714 is a wasteful number, since it uses less digits than its factorization.

9960885714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10723.

The product of its (nonzero) digits is 4354560, while the sum is 57.

The square root of 9960885714 is about 99804.2369541494. The cubic root of 9960885714 is about 2151.6220471998.

The spelling of 9960885714 in words is "nine billion, nine hundred sixty million, eight hundred eighty-five thousand, seven hundred fourteen".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 401 403 802 806 1203 1209 2406 2418 5213 10273 10426 12431 15639 20546 24862 30819 31278 37293 61638 74586 133549 161603 267098 318463 323206 400647 484809 636926 801294 955389 969618 1910778 4119473 4140019 8238946 8280038 12358419 12420057 24716838 24840114 53553149 107106298 127703663 160659447 255407326 321318894 383110989 766221978 1660147619 3320295238 4980442857 9960885714