Moreso, human intelligence is tied into the weakness of our flesh. Human intelligence is also balanced by greed and ambition. Someone dumber than you can 'win' by stabbing you and your intelligence ceases to exist.
Since we don't have the level of AGI we're discussing here yet, it's hard to say what it will look like in its implementation, but I find it hard to believe it would mimic the human model of its intelligence being tied to one body. A hivemind of embodied agents that feed data back into processing centers to be captured in 'intelligence nodes' that push out updates seems way more likely. More like a hive of super intelligent bees.