Search a number
-
+
138652818813 = 32537118122619
BaseRepresentation
bin1000000100100001011…
…0100001110101111101
3111020212221201222120200
42001020112201311331
54232430110200223
6143410215034113
713005642341235
oct2011026416575
9436787658520
10138652818813
11538909a0a63
1222a5666b939
13100c8747972
1469d4748cc5
153917811a43
hex20485a1d7d

138652818813 has 48 divisors (see below), whose sum is σ = 208081560960. Its totient is φ = 88915881600.

The previous prime is 138652818793. The next prime is 138652818847. The reversal of 138652818813 is 318818256831.

138652818813 is a `hidden beast` number, since 1 + 38 + 6 + 528 + 1 + 8 + 81 + 3 = 666.

It is not a de Polignac number, because 138652818813 - 220 = 138651770237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 138652818813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138652818883) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6118618 + ... + 6141236.

It is an arithmetic number, because the mean of its divisors is an integer number (4335032520).

Almost surely, 2138652818813 is an apocalyptic number.

It is an amenable number.

138652818813 is a deficient number, since it is larger than the sum of its proper divisors (69428742147).

138652818813 is a wasteful number, since it uses less digits than its factorization.

138652818813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22930 (or 22927 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 138652818813 in words is "one hundred thirty-eight billion, six hundred fifty-two million, eight hundred eighteen thousand, eight hundred thirteen".

Divisors: 1 3 9 53 71 159 181 213 477 543 639 1629 3763 9593 11289 12851 22619 28779 33867 38553 67857 86337 115659 203571 681103 1198807 1605949 2043309 3596421 4094039 4817847 6129927 10789263 12282117 14453541 36846351 85115297 216984067 255345891 290676769 650952201 766037673 872030307 1952856603 2616090921 15405868757 46217606271 138652818813