Come on guys. It's not that difficult to figure out the epoch question.

SPOILERS
We know the epoch was at midnight. All of the answers were the same day with different times. So we just need to figure the time. So:

1,000,000,000 mod (60 * 60 *24) = x
1,000,000,000 mod 86400 = x
6400 = x

6400 seconds is 106 minutes, 40 seconds, or 1 hour, 46 minutes and 40 seconds. So 1:46 AM.
SPOILERS

You guys are so not geeks.