As a service entrance wire you need AWG # 3/0 gauge copper.
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3/0 gauge
Depends upon the voltage. The formula for amperage or (wire size) is Watts / Voltage. If the voltage is 220 volts, then the amperage would be over 400 amps. This would require a large wire size to run it. If it were 440 volts, the amperage would be 1/2 or 200 amps. That would require a smaller wire size. As the voltage goes up, the amperage goes down. At a thousand volts, the amperage would only be 90 amps. A wire gauge or size of a #2 would carry 90 amps for small distances.
To keep costs down, by special permission in the electrical code, for home wiring on a 120/240 volt system 2/0 is allowed. For any other type 200 amp service 3/0 that has a insulation factor of 75 or 90 degrees C is rate at 200 and 225 amps respectively.
6 AWG will handle 50 amps with a voltage drop of about 4 volts. If you go to 4 AWG and limit to 50 amps your voltage drop will be 2.5 volts.
3/0 copper wire with 90 degree insulation is rated at 210 amps. 75 degree insulation is rated at 200 amps.