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138131582706 = 232131722042581
BaseRepresentation
bin1000000010100101001…
…0001010111011110010
3111012112121221110001200
42000221102022323302
54230343141121311
6143242355112030
712660013036365
oct2005122127362
9435477843050
10138131582706
115364374a617
122292bba2616
1310044768930
1469854260dc
1538d6ba1556
hex202948aef2

138131582706 has 72 divisors (see below), whose sum is σ = 342381680004. Its totient is φ = 40001886720.

The previous prime is 138131582683. The next prime is 138131582773. The reversal of 138131582706 is 607285131831.

It is a happy number.

138131582706 is a `hidden beast` number, since 1 + 38 + 1 + 31 + 582 + 7 + 0 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 56315561481 + 81816021225 = 237309^2 + 286035^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 953665 + ... + 1088916.

Almost surely, 2138131582706 is an apocalyptic number.

138131582706 is an abundant number, since it is smaller than the sum of its proper divisors (204250097298).

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

138131582706 is a wasteful number, since it uses less digits than its factorization.

138131582706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042636 (or 2042616 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 138131582706 in words is "one hundred thirty-eight billion, one hundred thirty-one million, five hundred eighty-two thousand, seven hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 289 306 442 578 663 867 1326 1734 1989 2601 3757 3978 5202 7514 11271 22542 33813 67626 2042581 4085162 6127743 12255486 18383229 26553553 34723877 36766458 53107106 69447754 79660659 104171631 159321318 208343262 238981977 312514893 451410401 477963954 590305909 625029786 902820802 1180611818 1354231203 1770917727 2708462406 3541835454 4062693609 5312753181 7673976817 8125387218 10625506362 15347953634 23021930451 46043860902 69065791353 138131582706