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13328806986 = 233112947101163
BaseRepresentation
bin11000110100111010…
…10111010001001010
31021101220111112212000
430122131113101022
5204244133310421
610042334331430
7651204663405
oct143235272112
937356445760
1013328806986
11571a844a70
1226bb959b76
131345547751
149062bad3c
15530251226
hex31a75744a

13328806986 has 256 divisors, whose sum is σ = 34687180800. Its totient is φ = 3755808000.

The previous prime is 13328806963. The next prime is 13328807003. The reversal of 13328806986 is 68960882331.

It is a happy number.

13328806986 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 81771741 + ... + 81771903.

It is an arithmetic number, because the mean of its divisors is an integer number (135496800).

Almost surely, 213328806986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13328806986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17343590400).

13328806986 is an abundant number, since it is smaller than the sum of its proper divisors (21358373814).

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

13328806986 is a wasteful number, since it uses less digits than its factorization.

13328806986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 13328806986 in words is "thirteen billion, three hundred twenty-eight million, eight hundred six thousand, nine hundred eighty-six".