Would Ghengis Khan count as an Übermensch?

I dunno if this conversation's already been discussed but would he count as an Übermensch? I mean a few examples Nietzsche listed as personal heroes: Alcibiades, Julius Caesar, Frederick II, Leonardo da Vinci, Homer, Aristophanes, Goethe (The most closest example, apparently the most nearest human being to being one. The name's even a reference to when Mephistopheles meets Faust and refers to him as "Übermensch"), Napoleon Bonaparte, Schopenhaur, & maybe Rosseau who he saw as a revolutionary, in some way, could be quite comparable to- some form of a "Pre-Übermensch" ? I'm aware of the possible logic that to be a full Übermensch, you would have to be something like Faust after the deal but in that sense of the list, wouldn't Ghengis Khan count in that category ? Or maybe even Sun Tzu ?