ILL 1992 Problem 64

For any positive integer $n$ consider all representations $n = a_1 + \cdots+ a_k$ , where $a_1 > a_2 > \cdots > a_k > 0$ are integers such that for all $i \in \{1, 2, \cdots , k - 1\}$ , the number $a_i$ is divisible by $a_{i+1}$ . Find the longest such representation of the number $1992.$