Search a number
-
+
13967676931 = 1310121150417
BaseRepresentation
bin11010000001000100…
…11101011000000011
31100001102122111122211
431000202131120003
5212101211130211
610225555442551
71003063203115
oct150042353003
940042574584
1013967676931
115a1843145a
1228598b6457
131417a026c0
149670a13b5
1556b39ae21
hex34089d603

13967676931 has 16 divisors (see below), whose sum is σ = 15263343648. Its totient is φ = 12704832000.

The previous prime is 13967676917. The next prime is 13967676937.

13967676931 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13967676931 - 27 = 13967676803 is a prime.

It is a super-2 number, since 2×139676769312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13967676937) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 251835 + ... + 302251.

It is an arithmetic number, because the mean of its divisors is an integer number (953958978).

Almost surely, 213967676931 is an apocalyptic number.

13967676931 is a deficient number, since it is larger than the sum of its proper divisors (1295666717).

13967676931 is a wasteful number, since it uses less digits than its factorization.

13967676931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50742.

The product of its digits is 7715736, while the sum is 58.

The spelling of 13967676931 in words is "thirteen billion, nine hundred sixty-seven million, six hundred seventy-six thousand, nine hundred thirty-one".

Divisors: 1 13 101 211 1313 2743 21311 50417 277043 655421 5092117 10637987 66197521 138293831 1074436687 13967676931