Question 94
Let $1 \lt d_1 \lt d_2 \lt \ldots \lt d_{l-1} \lt d_l \lt n$ denote divisors of composite natural number $n$, that is not a square of prime number, $l \ge 2$. For which $n$ are there natural numbers $a$, $b$ and $N$, that satisfy the conditions: $d_1 + d_2 = N^a$ and $d_{l-1} + d_l = N^b$?