ÖMO 1998 Problem 2

Let $Q_n$ be the product of the squares of even numbers less than or equal to $n$ and $K_n$ equal to the product of cubes of odd numbers less than or equal to $n$ . What is the highest power of $98$ , that a) $Q_n$ , b) $K_n$ or c) $Q_nK_n$ divides? If one divides $Q_{98}K_{98}$ by the highest power of $98$ , then one get a number $N$ . By which power-of-two number is $N$ still divisible?