Search a number
-
+
138832047605331 = 32531036928069487
BaseRepresentation
bin11111100100010001011010…
…111000011000011001010011
3200012120012210002202110110100
4133210101122320120121103
5121144111013141332311
61211134321233503443
741146166363525523
oct3744213270303123
9605505702673410
10138832047605331
11402663825903a3
12136a26b7a11b83
135c60a62792592
14263d715139683
15110b518092a56
hex7e445ae18653

138832047605331 has 24 divisors (see below), whose sum is σ = 204338574573120. Its totient is φ = 90799622424576.

The previous prime is 138832047605327. The next prime is 138832047605351. The reversal of 138832047605331 is 133506740238831.

138832047605331 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 3 + 2 + 0 + 47 + 60 + 533 + 1 = 666.

It is not a de Polignac number, because 138832047605331 - 22 = 138832047605327 is a prime.

It is a super-2 number, since 2×1388320476053312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138832047605351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9088731 + ... + 18980756.

It is an arithmetic number, because the mean of its divisors is an integer number (8514107273880).

Almost surely, 2138832047605331 is an apocalyptic number.

138832047605331 is a deficient number, since it is larger than the sum of its proper divisors (65506526967789).

138832047605331 is a wasteful number, since it uses less digits than its factorization.

138832047605331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28079915 (or 28079912 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 138832047605331 in words is "one hundred thirty-eight trillion, eight hundred thirty-two billion, forty-seven million, six hundred five thousand, three hundred thirty-one".

Divisors: 1 3 9 53 159 477 10369 31107 93321 549557 1648671 4946013 28069487 84208461 252625383 1487682811 4463048433 13389145299 291052510703 873157532109 2619472596327 15425783067259 46277349201777 138832047605331