With rolling jackpots starting at $12 million, Mega Millions is more exciting than ever! To play, choose five numbers from the first field of 56 numbers and one Mega Ball number from the second field of 46 numbers.

I wanted to calculate the odds of getting all 5 numbers and the Mega Ball.

1/(56!/51!*5!) * 1/46 => 1/3,819,816 * 1/46 = 1/175,711,536

Am I doing something wrong? Those seem like really crappy odds.