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138262262831 = 7114738204549
BaseRepresentation
bin1000000011000100010…
…0101011010000101111
3111012212201211200111022
42000301010223100233
54231130114402311
6143303344044355
712663160562120
oct2006104532057
9435781750438
10138262262831
1153700496520
12229679036bb
1310065861b54
146998922047
1538e33b65db
hex203112b42f

138262262831 has 16 divisors (see below), whose sum is σ = 176046566400. Its totient is φ = 105444552480.

The previous prime is 138262262779. The next prime is 138262262869.

It is a happy number.

138262262831 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 138262262831 - 218 = 138262000687 is a prime.

It is a super-2 number, since 2×1382622628312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138262262231) 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, 19098656 + ... + 19105893.

It is an arithmetic number, because the mean of its divisors is an integer number (11002910400).

Almost surely, 2138262262831 is an apocalyptic number.

138262262831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138262262831 is a deficient number, since it is larger than the sum of its proper divisors (37784303569).

138262262831 is a wasteful number, since it uses less digits than its factorization.

138262262831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38204614.

The product of its digits is 331776, while the sum is 44.

The spelling of 138262262831 in words is "one hundred thirty-eight billion, two hundred sixty-two million, two hundred sixty-two thousand, eight hundred thirty-one".

Divisors: 1 7 11 47 77 329 517 3619 38204549 267431843 420250039 1795613803 2941750273 12569296621 19751751833 138262262831