Convert the base-$64$ number $100_{64}$ to base $62$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Convert the base-$64$ number $100_{64}$ to base $62$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
144
Convert the base-$64$ number $100_{64}$ to base $62$.
train