Search a number
-
+
17138355336 = 2332238032713
BaseRepresentation
bin11111111011000011…
…01000110010001000
31122020101211122202100
433331201220302020
5240044404332321
611512342233400
71144463421354
oct177541506210
948211748670
1017138355336
1172a5178033
1233a3725860
131801875c7b
14b88216464
156a4906326
hex3fd868c88

17138355336 has 24 divisors (see below), whose sum is σ = 46416379230. Its totient is φ = 5712785088.

The previous prime is 17138355257. The next prime is 17138355349. The reversal of 17138355336 is 63355383171.

17138355336 is a `hidden beast` number, since 1 + 7 + 13 + 83 + 553 + 3 + 6 = 666.

17138355336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15950174436 + 1188180900 = 126294^2 + 34470^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 17138355291 and 17138355300.

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 5 ways as a sum of consecutive naturals, for example, 119016285 + ... + 119016428.

Almost surely, 217138355336 is an apocalyptic number.

It is an amenable number.

17138355336 is an abundant number, since it is smaller than the sum of its proper divisors (29278023894).

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

17138355336 is a wasteful number, since it uses less digits than its factorization.

17138355336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238032725 (or 238032718 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

It can be divided in two parts, 1713835 and 5336, that added together give a palindrome (1719171).

The spelling of 17138355336 in words is "seventeen billion, one hundred thirty-eight million, three hundred fifty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 238032713 476065426 714098139 952130852 1428196278 1904261704 2142294417 2856392556 4284588834 5712785112 8569177668 17138355336