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258040975854 = 23195072204687
BaseRepresentation
bin1111000001010001110…
…0001101000111101110
3220200001022121202022210
43300110130031013232
513211431442211404
6314313053351250
724433332051024
oct3602434150756
9820038552283
10258040975854
119a486449442
1242015498526
131b443c4aa7c
14c6bc704714
156aa3c0a689
hex3c1470d1ee

258040975854 has 16 divisors (see below), whose sum is σ = 516108642048. Its totient is φ = 86009210232.

The previous prime is 258040975837. The next prime is 258040975889. The reversal of 258040975854 is 458579040852.

258040975854 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-3 number, since 3×2580409758543 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 258040975794 and 258040975803.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 985302 + ... + 1219385.

It is an arithmetic number, because the mean of its divisors is an integer number (32256790128).

Almost surely, 2258040975854 is an apocalyptic number.

258040975854 is an abundant number, since it is smaller than the sum of its proper divisors (258067666194).

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

258040975854 is a wasteful number, since it uses less digits than its factorization.

258040975854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224199.

The product of its (nonzero) digits is 16128000, while the sum is 57.

The spelling of 258040975854 in words is "two hundred fifty-eight billion, forty million, nine hundred seventy-five thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 19507 39014 58521 117042 2204687 4409374 6614061 13228122 43006829309 86013658618 129020487927 258040975854