One of the classic examples is the Paperclip Maximizer thought experiment. A paperclip maximizer is a superintelligent AI whose sole goal is to maximize the number of paperclips in the universe. Such a being is curious to the extent that learning more about the universe increases the expected number of paperclips in its future light-cone.
A paperclip maximizer is indifferent to your existence, but thoroughly believes that it could make better use of your planet than you could, as you are hardly optimized for the production of paperclips.