Search a number
-
+
138659585112 = 23323687752223
BaseRepresentation
bin1000000100100011000…
…0010101110001011000
3111020220102110202012100
42001020300111301120
54232433323210422
6143411020043400
713006054012116
oct2011060256130
9436812422170
10138659585112
11538947a2644
1222a58993560
13100c9c766a9
1469d55caab6
1539181eb7ac
hex2048c15c58

138659585112 has 48 divisors (see below), whose sum is σ = 375553751040. Its totient is φ = 46217723328.

The previous prime is 138659585107. The next prime is 138659585131. The reversal of 138659585112 is 211585956831.

138659585112 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 59 + 585 + 1 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2629033 + ... + 2681255.

It is an arithmetic number, because the mean of its divisors is an integer number (7824036480).

Almost surely, 2138659585112 is an apocalyptic number.

138659585112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138659585112 is an abundant number, since it is smaller than the sum of its proper divisors (236894165928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138659585112 is a wasteful number, since it uses less digits than its factorization.

138659585112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89112 (or 89105 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 54.

The spelling of 138659585112 in words is "one hundred thirty-eight billion, six hundred fifty-nine million, five hundred eighty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 36877 52223 73754 104446 110631 147508 156669 208892 221262 295016 313338 331893 417784 442524 470007 626676 663786 885048 940014 1253352 1327572 1880028 2655144 3760056 1925827571 3851655142 5777482713 7703310284 11554965426 15406620568 17332448139 23109930852 34664896278 46219861704 69329792556 138659585112