Search a number
-
+
258838505226 = 23272293467693
BaseRepresentation
bin1111000100001111111…
…0100010011100001010
3220202002220022102221200
43301003332202130022
513220100124131401
6314524143245030
724462154664400
oct3610376423412
9822086272850
10258838505226
119a855652024
12421b85a9776
131b540247242
14c7565c9470
156aedc45686
hex3c43fa270a

258838505226 has 36 divisors (see below), whose sum is σ = 652378683762. Its totient is φ = 73953858384.

The previous prime is 258838505221. The next prime is 258838505227. The reversal of 258838505226 is 622505838852.

258838505226 is a `hidden beast` number, since 2 + 5 + 88 + 38 + 5 + 0 + 522 + 6 = 666.

258838505226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 241990205625 + 16848299601 = 491925^2 + 129801^2 .

It is a super-2 number, since 2×2588385052262 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258838505221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 146732965 + ... + 146734728.

Almost surely, 2258838505226 is an apocalyptic number.

258838505226 is an abundant number, since it is smaller than the sum of its proper divisors (393540178536).

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

258838505226 is a wasteful number, since it uses less digits than its factorization.

258838505226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293467715 (or 293467705 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 258838505226 in words is "two hundred fifty-eight billion, eight hundred thirty-eight million, five hundred five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 293467693 586935386 880403079 1760806158 2054273851 2641209237 4108547702 5282418474 6162821553 12325643106 14379916957 18488464659 28759833914 36976929318 43139750871 86279501742 129419252613 258838505226