Which doge represents what number?
Solution 1:
The doges are as follows:
2
4
8
16
32
64
128
256
512
1024
2048
Solution 2:
In Firefox and Internet Explorer you can press Ctrl + A (Select All) to see the values:
You can even keep playing like this, but why would you?
In Chrome that didn't work for me - the numbers still invisible.
Solution 3:
If you make it to 4096, the game reuses the 1024 tile. Note that this is a 1024 tile in aesthetics only, and cannot be combined with true 1024 tiles.