Maximum amount of chess games

I came up with this formula for a rough number of how many logical games of chess there are. The average number of logical moves per turn(this varies from skill level of course) to the power of the average number of moves. I'm going to guess that the average number of logical moves per turn is 5, and that the usual game is 60 turns(moves per side). This is roughly 10 ^ 46. Although I might be wrong in this premise, I'm certain the number is uncomprehendingly huge. It's really wierd to think about if you ever study an open position, like your treading water above the Marina trench. 

I guess some positions repeat after a few moves, so it's definitely less.

Even with repeated positions you still have unique games. 

Oh yes, missed it :D