Question 19
The positive integer $n$ has exactly 18 positive divisors, counting $1$ and $n$. The divisors of $n$ are numbered from smallest to largest (the first is $1$ and the eighteenth is $n$) and the sixth of these divisors is denoted $x$. It is known that the thirteenth divisor, multiplied by the sum of the first plus the second plus the fifth divisor, is equal to divisor number $x+1$. Find $n$.