Search a number
-
+
13875137631 = 324155036833
BaseRepresentation
bin11001110110000010…
…11100110001011111
31022210222112000121100
430323001130301133
5211404013401011
610212452204143
71000560503205
oct147301346137
938728460540
1013875137631
1159801762a3
122832909653
1314017a1a14
14958a93075
155631bbd56
hex33b05cc5f

13875137631 has 24 divisors (see below), whose sum is σ = 20537427456. Its totient is φ = 9021519360.

The previous prime is 13875137629. The next prime is 13875137659. The reversal of 13875137631 is 13673157831.

13875137631 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 5 + 1 + 3 + 7 + 631 = 666.

It is not a de Polignac number, because 13875137631 - 21 = 13875137629 is a prime.

It is a super-2 number, since 2×138751376312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13875137671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027191 + ... + 2034023.

It is an arithmetic number, because the mean of its divisors is an integer number (855726144).

Almost surely, 213875137631 is an apocalyptic number.

13875137631 is a deficient number, since it is larger than the sum of its proper divisors (6662289825).

13875137631 is a wasteful number, since it uses less digits than its factorization.

13875137631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12383 (or 12380 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 13875137631 in words is "thirteen billion, eight hundred seventy-five million, one hundred thirty-seven thousand, six hundred thirty-one".

Divisors: 1 3 9 41 123 369 5503 6833 16509 20499 49527 61497 225623 280153 676869 840459 2030607 2521377 37601999 112805997 338417991 1541681959 4625045877 13875137631