How many digits are in the value of the following expression: $2^{2001}\times 5^{1950}\div 4^{27}$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many digits are in the value of the following expression: $2^{2001}\times 5^{1950}\div 4^{27}$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1950
How many digits are in the value of the following expression: $2^{2001}\times 5^{1950}\div 4^{27}$?
train