Search a number
-
+
258118580350 = 25217832895329
BaseRepresentation
bin1111000001100100010…
…0001111100001111110
3220200020201122110200101
43300121010033201332
513212111324032400
6314324504551314
724435263506141
oct3603104174176
9820221573611
10258118580350
119a516233894
124203748253a
131b45704c9a7
14c6c8b46058
156aaa93956a
hex3c1910f87e

258118580350 has 24 divisors (see below), whose sum is σ = 480369990960. Its totient is φ = 103189489920.

The previous prime is 258118580311. The next prime is 258118580359. The reversal of 258118580350 is 53085811852.

258118580350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2581185803502 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258118580350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258118580359) 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 11 ways as a sum of consecutive naturals, for example, 1358515 + ... + 1536814.

It is an arithmetic number, because the mean of its divisors is an integer number (20015416290).

Almost surely, 2258118580350 is an apocalyptic number.

258118580350 is a deficient number, since it is larger than the sum of its proper divisors (222251410610).

258118580350 is a wasteful number, since it uses less digits than its factorization.

258118580350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897124 (or 2897119 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 46.

The spelling of 258118580350 in words is "two hundred fifty-eight billion, one hundred eighteen million, five hundred eighty thousand, three hundred fifty".

Divisors: 1 2 5 10 25 50 1783 3566 8915 17830 44575 89150 2895329 5790658 14476645 28953290 72383225 144766450 5162371607 10324743214 25811858035 51623716070 129059290175 258118580350