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9939989268 = 22321126395441
BaseRepresentation
bin10010100000111100…
…00011001100010100
3221122201211202212200
421100132003030110
5130324114124033
64322200244500
7501215341356
oct112036031424
927581752780
109939989268
114240957070
121b14a70730
13c25438671
146a41c10d6
153d29a7013
hex250783314

9939989268 has 72 divisors (see below), whose sum is σ = 27514783296. Its totient is φ = 3000633600.

The previous prime is 9939989239. The next prime is 9939989287. The reversal of 9939989268 is 8629899399.

9939989268 is a `hidden beast` number, since 99 + 399 + 8 + 92 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9939989196 and 9939989205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56428 + ... + 151868.

It is an arithmetic number, because the mean of its divisors is an integer number (382149768).

Almost surely, 29939989268 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 9939989268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13757391648).

9939989268 is an abundant number, since it is smaller than the sum of its proper divisors (17574794028).

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

9939989268 is a wasteful number, since it uses less digits than its factorization.

9939989268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95725 (or 95720 counting only the distinct ones).

The product of its digits is 136048896, while the sum is 72.

The square root of 9939989268 is about 99699.4948231936. The cubic root of 9939989268 is about 2150.1164002601.

The spelling of 9939989268 in words is "nine billion, nine hundred thirty-nine million, nine hundred eighty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 263 396 526 789 1052 1578 2367 2893 3156 4734 5786 8679 9468 11572 17358 26037 34716 52074 95441 104148 190882 286323 381764 572646 858969 1049851 1145292 1717938 2099702 3149553 3435876 4199404 6299106 9448659 12598212 18897318 25100983 37794636 50201966 75302949 100403932 150605898 225908847 276110813 301211796 451817694 552221626 828332439 903635388 1104443252 1656664878 2484997317 3313329756 4969994634 9939989268