Cat 3406B harmonic balancer - what kind of puller/how to remove

I'm doing a harmonic balancer on a 3406b Cat motor and I have the six bolts out of the front and the fan removed and the regular puller is way too small. It doesn't look like there is any kind of center bolt in this one and it's recessed so far that even if it had one it couldn't possibly hold the balancer like a normal crank bolt. Anyone know what kind of puller to get for this? The total diameter is just over 13.5" and with the bolt holes spaced so far apart I can't imagine what kind they expect one to use.

 

OK - I guess it just falls off when you beat on it? Swaan is exactly correct - thank you. I wasn't giving it enough force apparently. Of course now it's completely stuck to the pulleys. Ugh - does anything come off these old motors easily? Any tips for splitting the balancer and pulleys? I thought maybe trying to pry between them, but that doesn't seem to help. I'm soaking them with PB Blaster right now to see if that gets me anywhere.