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 $A_{1}, A_{2}, \cdots, A_{63}$, and let the product of all elements in the set $A_{i}(i=1,2$, $\cdots, 63$) be $p_{i}$ (the product of a single-element set is the element itself). Then
$$
p_{1}+p_{2}+\cdots+p_{63}=
$$
$\qquad$
4. $\frac{79}{65}$.

The required value is $\prod_{t \in A}(1+t)-1=\frac{79}{65}$.