1. (10 points) Expression: $2016 \times \frac{1}{1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}}$ The calculation result is $\qquad$ _.
【Solution】Solution: Denominator: $1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}$
$$
\begin{array}{l}
=1+1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+\frac{1}{8}-\frac{1}{16}+\frac{1}{16}-\frac{1}{32} \\
=2-\frac{1}{32} \\
=\frac{63}{32}
\end{array}
$$

Then, $2016 \times \frac{1}{1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}}$
$$
\begin{array}{l}
=2016 \times \frac{1}{\frac{63}{32}} \\
=2016 \times \frac{32}{63} \\
=1024
\end{array}
$$

Therefore, the answer is: 1024.