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138784167233226 = 232337127811790081
BaseRepresentation
bin11111100011100100110100…
…111111010000011011001010
3200012101122012020101112200100
4133203210310333100123022
5121142314433302430401
61211100322151150230
741142553020216114
oct3743446477203312
9605348166345610
10138784167233226
1140248042342139
1213695374975376
135c593a1bc3658
14263b2921243b4
15110a164840b86
hex7e3934fd06ca

138784167233226 has 48 divisors (see below), whose sum is σ = 301615076330568. Its totient is φ = 46120480358400.

The previous prime is 138784167233221. The next prime is 138784167233263. The reversal of 138784167233226 is 622332761487831.

138784167233226 is a `hidden beast` number, since 1 + 3 + 87 + 8 + 41 + 67 + 233 + 226 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119825971715025 + 18958195518201 = 10946505^2 + 4354101^2 .

It is a super-2 number, since 2×1387841672332262 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138784167233221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76634506 + ... + 78424586.

Almost surely, 2138784167233226 is an apocalyptic number.

138784167233226 is an abundant number, since it is smaller than the sum of its proper divisors (162830909097342).

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

138784167233226 is a wasteful number, since it uses less digits than its factorization.

138784167233226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803207 (or 1803204 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 138784167233226 in words is "one hundred thirty-eight trillion, seven hundred eighty-four billion, one hundred sixty-seven million, two hundred thirty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 337 674 1011 2022 3033 6066 12781 25562 38343 76686 115029 230058 1790081 3580162 4307197 5370243 8614394 10740486 12921591 16110729 25843182 32221458 38764773 77529546 603257297 1206514594 1809771891 3619543782 5429315673 10858631346 22879025261 45758050522 68637075783 137274151566 205911227349 411822454698 7710231512957 15420463025914 23130694538871 46261389077742 69392083616613 138784167233226