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138136391226 = 2341498536709
BaseRepresentation
bin1000000010100110010…
…0100000111000111010
3111012112221222202010000
42000221210200320322
54230400404004401
6143243050133430
712660101644401
oct2005144407072
9435487882100
10138136391226
11536464342a9
1222931721276
1310045760502
146985d18638
1538d7301186
hex2029920e3a

138136391226 has 80 divisors (see below), whose sum is σ = 312017013000. Its totient is φ = 45676006272.

The previous prime is 138136391213. The next prime is 138136391269. The reversal of 138136391226 is 622193631831.

138136391226 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 3 + 639 + 1 + 2 + 2 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67114674225 + 71021717001 = 259065^2 + 266499^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20586360 + ... + 20593068.

Almost surely, 2138136391226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138136391226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156008506500).

138136391226 is an abundant number, since it is smaller than the sum of its proper divisors (173880621774).

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

138136391226 is a wasteful number, since it uses less digits than its factorization.

138136391226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7716 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 138136391226 in words is "one hundred thirty-eight billion, one hundred thirty-six million, three hundred ninety-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 853 894 1341 1706 2559 2682 4023 5118 6709 7677 8046 12069 13418 15354 20127 23031 24138 40254 46062 60381 69093 120762 127097 138186 181143 254194 362286 381291 543429 762582 999641 1086858 1143873 1999282 2287746 2998923 3431619 5722777 5997846 6863238 8996769 10294857 11445554 17168331 17993538 20589714 26990307 34336662 51504993 53980614 80970921 103009986 154514979 161941842 309029958 463544937 852693773 927089874 1705387546 2558081319 5116162638 7674243957 15348487914 23022731871 46045463742 69068195613 138136391226