P10508 Prime Factor

The length of the code you submit must not be less than 10 bytes.

Given [numlist.txt](https://www.luogu.com.cn/fe/api/problem/downloadAttachment/rxuwd604?contestId=170180), please find the number of times the prime factor $2$ appears in the prime factorization of the product of the $1000$ numbers in the file.

None.

Just output the answer.

Translated by ChatGPT 5