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258273231116058 = 23218179799464933
BaseRepresentation
bin111010101110010111101100…
…001100100001011100011010
31020212110200100112201112220200
4322232113230030201130122
5232323022034131203213
62313145030122003030
7105254424302156244
oct7256275414413432
91225420315645820
10258273231116058
1175326075883194
1224b730ba646476
13b1160a45842c2
1447ac6c376d094
151ecd42d1e2273
hexeae5ec32171a

258273231116058 has 48 divisors (see below), whose sum is σ = 563389677022536. Its totient is φ = 85508012741760.

The previous prime is 258273231116057. The next prime is 258273231116083. The reversal of 258273231116058 is 850611132372852.

258273231116058 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 7 + 3 + 23 + 1 + 1 + 1 + 605 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68518115439489 + 189755115676569 = 8277567^2 + 13775163^2 .

It is a super-2 number, since 2×2582732311160582 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 258273231115995 and 258273231116013.

It is not an unprimeable number, because it can be changed into a prime (258273231116057) 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, 47135841 + ... + 52329092.

Almost surely, 2258273231116058 is an apocalyptic number.

258273231116058 is an abundant number, since it is smaller than the sum of its proper divisors (305116445906478).

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

258273231116058 is a wasteful number, since it uses less digits than its factorization.

258273231116058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99465919 (or 99465916 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 258273231116058 in words is "two hundred fifty-eight trillion, two hundred seventy-three billion, two hundred thirty-one million, one hundred sixteen thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 181 362 543 797 1086 1594 1629 2391 3258 4782 7173 14346 144257 288514 432771 865542 1298313 2596626 99464933 198929866 298394799 596789598 895184397 1790368794 18003152873 36006305746 54009458619 79273551601 108018917238 158547103202 162028375857 237820654803 324056751714 475641309606 713461964409 1426923928818 14348512839781 28697025679562 43045538519343 86091077038686 129136615558029 258273231116058