>>111947740 is even and it's pretty easy to understand why.
Take any integer and stack up that many pancakes into two stacks, alternating stacks for each pancake. So, left, right, left, right, left, right, etc.
If you run out of pancakes and your stacks are the same height, you had an even number of pancakes.
If you run out and one stack is one pancake higher than the other, the initial number of pancakes was odd.
If you run out and one stack is a fractional number of pancakes higher than the other, you didn't have an integer number of pancakes to begin with.
If you run out of pancakes and wind up with any other scenario, i.e. one stack is two or more pancakes higher than the other or you have more than two stacks, then you did it wrong, try again dumbass.
If you don't run out of pancakes, then your number is the cardinality of an infinite set, and therefore not actually a number.
If you run out of pancakes and your stacks are the same height, but they're not the same width (or they are the same width but they're wider than when you started) then you forgot to cook your batter.
Now try this with the integer 0. That is, start with 0 pancakes.
You've now run out of pancakes before you've even begun sorting them into stacks.
Compare the height of your two empty stacks of pancakes.
Since they're both empty, they're the same height (empty).
Therefore, 0 is even, QED.
