Search a number
-
+
258666815897340 = 223525311703324219
BaseRepresentation
bin111010110100000110001111…
…101011010011111011111100
31020220212022021010221001020020
4322310012033223103323330
5232400444114332203330
62314045521133452140
7105325026555463554
oct7264061753237374
91226768233831206
10258666815897340
1175467a87164834
1225017441341050
13b144239ab7226
1447c377d91a164
151ed87b67d5210
hexeb418fad3efc

258666815897340 has 48 divisors (see below), whose sum is σ = 724553243406720. Its totient is φ = 68950564344640.

The previous prime is 258666815897173. The next prime is 258666815897419. The reversal of 258666815897340 is 43798518666852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851510250 + ... + 851813969.

It is an arithmetic number, because the mean of its divisors is an integer number (15094859237640).

It is a 1-persistent number, because it is pandigital, but 2⋅258666815897340 = 517333631794680 is not.

Almost surely, 2258666815897340 is an apocalyptic number.

258666815897340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258666815897340 is an abundant number, since it is smaller than the sum of its proper divisors (465886427509380).

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

258666815897340 is a wasteful number, since it uses less digits than its factorization.

258666815897340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703326762 (or 1703326760 counting only the distinct ones).

The product of its (nonzero) digits is 4180377600, while the sum is 78.

The spelling of 258666815897340 in words is "two hundred fifty-eight trillion, six hundred sixty-six billion, eight hundred fifteen million, eight hundred ninety-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2531 5062 7593 10124 12655 15186 25310 30372 37965 50620 75930 151860 1703324219 3406648438 5109972657 6813296876 8516621095 10219945314 17033242190 20439890628 25549863285 34066484380 51099726570 102199453140 4311113598289 8622227196578 12933340794867 17244454393156 21555567991445 25866681589734 43111135982890 51733363179468 64666703974335 86222271965780 129333407948670 258666815897340