Retrieve the Apple ID used to download a given app (in iTunes)

I have multiple devices, all handled with iTunes in the same PC. Each device is associated with a different Apple ID.

I may want to install some apps in more than one device. As far as I know, an app downloaded in iTunes leaves a .ipa file that has embedded the information about the associated Apple ID (in directory C:\userdir\Music\iTunes\iTunes Media\Mobile Applications).

Is that correct?

If so, is there any way to know that Apple ID, for each .ipa file? Will I have more than one copy of an .ipa file in my PC, if the app is purchased with more than one ID? Where will each one be stored?

And if not, where is the information about which Apple IDs were used to download each app stored? Can it be retrieved?

PS: This question has a title that describes well the present one. But the question itself asks something a little bit different, and the accepted answer is OK for that question, but it by no means answers this one.