Search a number
-
+
13167969138 = 2323125791823
BaseRepresentation
bin11000100001101111…
…10100001101110010
31020222200212010210200
430100313310031302
5203432000003023
610014351140030
7644212614402
oct142067641562
936880763720
1013167969138
115647a80125
122675b14616
13131b12281c
148ccbb0802
15521080743
hex310df4372

13167969138 has 48 divisors (see below), whose sum is σ = 29565858816. Its totient is φ = 4231157760.

The previous prime is 13167969127. The next prime is 13167969161. The reversal of 13167969138 is 83196976131.

It is a happy number.

13167969138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131679691382 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 97495 + ... + 189317.

It is an arithmetic number, because the mean of its divisors is an integer number (615955392).

Almost surely, 213167969138 is an apocalyptic number.

13167969138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13167969138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782929408).

13167969138 is an abundant number, since it is smaller than the sum of its proper divisors (16397889678).

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

13167969138 is a wasteful number, since it uses less digits than its factorization.

13167969138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92119 (or 92116 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 13167969138 in words is "thirteen billion, one hundred sixty-seven million, nine hundred sixty-nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 257 279 514 558 771 1542 2313 4626 7967 15934 23901 47802 71703 91823 143406 183646 275469 550938 826407 1652814 2846513 5693026 8539539 17079078 23598511 25618617 47197022 51237234 70795533 141591066 212386599 424773198 731553841 1463107682 2194661523 4389323046 6583984569 13167969138