The absolute longest, that can be proven, was 6 days! (No micro-naps for me!) But I have a weird reaction to lots of medicines & if I have a migraine I cannot sleep during it. I used to go longer, but they say it's impossible & don't believe me. Imagine the doctors surprise when they had me under observation & saw it first hand I currently go long periods without sleep, often 3 day stretches, but it's not for lack of trying to sleep - once I get adjusted to my current medicine, I hope I even back out.
Now as far as being able to stay awake on my own, no medicines in my system, I can easily stay awake for 48-72 hrs if I need to, but I have to say I'd rather not.
I fully admit to being a freak