Welcome to Justanswer.com, my name is Dustin.I'm sorry to hear about the issue you are having, I will do my best to help you resolve it.
I cant tell what model you have by that serial number, as the serial number isnt a model number! However, you either need a usb 3.0 cable http://amzn.to/2ai6gA5
Or a usb 2.0 cable http://amzn.to/2aLpM6i
If you look at both pages, it shows both ends of the cable. One of those ends should match the connector on your hard drive. ( the other end is the standard usb plug that goes into your computer )
If you have any further questions let me know.
I strive to provide great service, and greatly appreciate a 5 star rating clicked and submitted when you are satisfied.. I always answer follow up questions.Dustin S.Senior Technician and Network Switching Systems Operator / Maintainer.