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13692766729631 = 1123107053505559
BaseRepresentation
bin1100011101000001100001…
…1111110011010110011111
31210111000102110022201102212
43013100120133303112133
53243320241240322011
645042211543511035
72612161344552203
oct307203037632637
953430373281385
1013692766729631
1143aa0849382a0
1216518bba5847b
137842b76b6702
14354a3a80ab03
1518b2a86e808b
hexc74187f359f

13692766729631 has 16 divisors (see below), whose sum is σ = 15587199429120. Its totient is φ = 11906618903520.

The previous prime is 13692766729573. The next prime is 13692766729687.

13692766729631 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-13692766729631 is a prime.

It is a super-2 number, since 2×136927667296312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13692766729331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26831630 + ... + 27337188.

It is an arithmetic number, because the mean of its divisors is an integer number (974199964320).

Almost surely, 213692766729631 is an apocalyptic number.

13692766729631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13692766729631 is a deficient number, since it is larger than the sum of its proper divisors (1894432699489).

13692766729631 is a wasteful number, since it uses less digits than its factorization.

13692766729631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612646.

The product of its digits is 185177664, while the sum is 68.

The spelling of 13692766729631 in words is "thirteen trillion, six hundred ninety-two billion, seven hundred sixty-six million, seven hundred twenty-nine thousand, six hundred thirty-one".

Divisors: 1 11 23 253 107053 505559 1177583 2462219 5561149 11627857 27084409 127906427 54121607627 595337683897 1244796975421 13692766729631