4. Let the set $A=\left\{\frac{1}{2}, \frac{1}{7}, \frac{1}{11}, \frac{1}{13}, \frac{1}{15}, \frac{1}{32}\right\}$ have non-empty subsets $A_{1}, A_{2}, \cdots, A_{63}$. Denote the product of all elements in the set $A_{i}$ as $p_{i}$ (the product of elements in a singleton set is the element itself), $i=1,2, \cdots, 63$, then $p_{1}+p_{2}+\cdots+p_{63}=$ $\qquad$ .
Rongge $\frac{79}{65}$.
Analysis $\left(\frac{1}{2}+1\right)\left(\frac{1}{7}+1\right)\left(\frac{1}{11}+1\right)\left(\frac{1}{13}+1\right)\left(\frac{1}{15}+1\right)\left(\frac{1}{32}+1\right)-1=\frac{79}{65}$.