Svi dvoznamenkasti brojevi od
do
napisani su u nizu i tvore broj
Broj
je najveća potencija broja
koja dijeli
. Odredi
.
All natural numbers from
to
are written in order, one after another, to form the number
The number
is the highest power of
which is a factor of the number
. What is the value of
?
[lang=hr]
Svi dvoznamenkasti brojevi od $19$ do $92$ napisani su u nizu i tvore broj $$N=192021\cdots909192.$$ Broj $3^k$ je najveća potencija broja $3$ koja dijeli $N$. Odredi $k$.
[/lang]
[lang=en]
All natural numbers from $19$ to $29$ are written in order, one after another, to form the number $$N=192021\cdots909192.$$ The number $3^k$ is the highest power of $3$ which is a factor of the number $N$. What is the value of $k$?
[/lang]
