Thank you for the inquiry and for using SearsPartsDirect.com.
Based upon Briggs engine model 286707-0413-01, the carburetor being used is part number 499158. For convenience, I have included a blue link below that you may click on to be directed to the PartsDirect page to purchase the needed carburetor.
Carburetor for Briggs Model 286707-0413-01
If you have any further questions, please don't hesitate to ask. Thanks for using SearsPartsDirect.com.