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138585585831 = 3711599937601
BaseRepresentation
bin1000000100010001011…
…0000011100010100111
3111020201021020012021020
42001010112003202213
54232310402221311
6143355414022223
713004165020560
oct2010426034247
9436637205236
10138585585831
1153856a4a910
1222a38047973
13100b7837734
1469c9847167
153911980c06
hex20445838a7

138585585831 has 16 divisors (see below), whose sum is σ = 230376039168. Its totient is φ = 71992512000.

The previous prime is 138585585829. The next prime is 138585585863.

It is a happy number.

138585585831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 138585585831 - 21 = 138585585829 is a prime.

It is a super-2 number, since 2×1385855858312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138585585331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299968570 + ... + 299969031.

It is an arithmetic number, because the mean of its divisors is an integer number (14398502448).

Almost surely, 2138585585831 is an apocalyptic number.

138585585831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138585585831 is a deficient number, since it is larger than the sum of its proper divisors (91790453337).

138585585831 is a wasteful number, since it uses less digits than its factorization.

138585585831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599937622.

The product of its digits is 23040000, while the sum is 60.

The spelling of 138585585831 in words is "one hundred thirty-eight billion, five hundred eighty-five million, five hundred eighty-five thousand, eight hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 599937601 1799812803 4199563207 6599313611 12598689621 19797940833 46195195277 138585585831