Search a number
-
+
138189625821 = 321346710492411
BaseRepresentation
bin1000000010110010111…
…1100101100111011101
3111012200200011100020200
42000230233211213131
54231003021011241
6143252231134113
712661316303322
oct2005457454735
9435620140220
10138189625821
1153673494235
1222947514339
13100537abc80
14698d014b49
1538dbd194b6
hex202cbe59dd

138189625821 has 48 divisors (see below), whose sum is σ = 215716737600. Its totient is φ = 84741615360.

The previous prime is 138189625813. The next prime is 138189625841. The reversal of 138189625821 is 128526981831.

138189625821 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 8 + 9 + 625 + 8 + 2 + 1 = 666.

It is not a de Polignac number, because 138189625821 - 23 = 138189625813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138189625801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57315106 + ... + 57317516.

It is an arithmetic number, because the mean of its divisors is an integer number (4494098700).

Almost surely, 2138189625821 is an apocalyptic number.

It is an amenable number.

138189625821 is a deficient number, since it is larger than the sum of its proper divisors (77527111779).

138189625821 is a wasteful number, since it uses less digits than its factorization.

138189625821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3943 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 138189625821 in words is "one hundred thirty-eight billion, one hundred eighty-nine million, six hundred twenty-five thousand, eight hundred twenty-one".

Divisors: 1 3 9 13 39 117 467 1049 1401 2411 3147 4203 6071 7233 9441 13637 18213 21699 31343 40911 54639 94029 122733 282087 489883 1125937 1469649 2529139 3377811 4408947 6368479 7587417 10133433 14637181 19105437 22762251 32878807 43911543 57316311 98636421 131734629 295909263 1181107913 3543323739 10629971217 15354402869 46063208607 138189625821