Search a number
-
+
9936608328 = 2332532603933
BaseRepresentation
bin10010100000100010…
…01001110001001000
3221122111111000002200
421100101021301020
5130322232431303
64322000000200
7501144530403
oct112021116110
927574430080
109936608328
114239a579a9
121b13900060
13c248237ca
146a3980d3a
153d253a3a3
hex250449c48

9936608328 has 48 divisors (see below), whose sum is σ = 27419425020. Its totient is φ = 3249707136.

The previous prime is 9936608263. The next prime is 9936608347. The reversal of 9936608328 is 8238066399.

9936608328 is a `hidden beast` number, since 9 + 9 + 3 + 6 + 608 + 3 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9887915844 + 48692484 = 99438^2 + 6978^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1298151 + ... + 1305782.

Almost surely, 29936608328 is an apocalyptic number.

It is an amenable number.

9936608328 is an abundant number, since it is smaller than the sum of its proper divisors (17482816692).

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

9936608328 is a wasteful number, since it uses less digits than its factorization.

9936608328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603998 (or 2603991 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 9936608328 is about 99682.5377285310. The cubic root of 9936608328 is about 2149.8725958757.

The spelling of 9936608328 in words is "nine billion, nine hundred thirty-six million, six hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 2603933 5207866 7811799 10415732 15623598 20831464 23435397 31247196 46870794 62494392 93741588 138008449 187483176 276016898 414025347 552033796 828050694 1104067592 1242076041 1656101388 2484152082 3312202776 4968304164 9936608328