Do you believe in the conspiracies that Hitler did not die in Berlin?

I personally believe that he did not die in Berlin for a number of reasons. His body was never found. The russians claimed to have found his body and that they have his skull on display in moscow. Then they conducted tests and found out that that skull belonged to a woman, so it couldn't have been hitler. Also, I heard somewhere that the head of German secret police, H. Mueller, confirmed that Hitler was flown out of berlin several hours before russians came. He also said that Hitler boarder a submarine that would supposedly take him to S. America. There is no way to prove his claim, but its at least something. Lastly, I know that hitler was very stupid in many of the decisions he made, but he wasn't stupid enought to sit out the inevidable destruction of berlin and then commit suicide. I honestly don't want to believe this theory, but his body was never found...by anyone. There is just more evidence that he did not die in Berlin. What are your thoughts on these theories? Did I miss some facts?