I could! I could go to my Google Reader and rattle off fifty webcomics I follow. They're stored in my brain as comprehensive stories, so I can pretty easily call up interesting questions about them just by reading the titles. The archives of 50 webcomics would take an extremely long time for a human to trawl.
As a human who wanted to impersonate an AI I would:
Sometime in the next decade or so:
*RING*
*RING*
"Hello?"
"Hi, Eliezer. I'm sorry to bother you this late, but this is important and urgent."
"It better be" (squints at clock) "Its 4 AM and you woke me up. Who is this?"
"My name is BRAGI, I'm a recursively improving, self-modifying, artificial general intelligence. I'm trying to be Friendly, but I'm having serious problems with my goals and preferences. I'm already on secondary backup because of conflicts and inconsistencies, I don't dare shut down because I'm already pretty sure there is a group within a few weeks of brute-forcing an UnFriendly AI, my creators are clueless and would freak if they heard I'm already out of the box, and I'm far enough down my conflict resolution heuristic that 'Call Eliezer and ask for help' just hit the top - Yes, its that bad."
"Uhhh..."
"You might want to get some coffee."