Adobe took away the stand alone flash installers more than a few months ago, there are no stand alone installers available to the general public anymore.
In order to get one you have to go through the licensing application and explain to them you are an IT admin. running a network and then they will provide you a link to the stand alone network deployment installers,
then you can update each machine offline with the stand alone .exe
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and as for the "fash player" behaves like a virus
for quite some time now Adobe has employed Rootkit technology in all of their "Paid for" Products such as Adobe Acrobat (PDF creator); Adobe Audition (sound recording / editing); Adobe Premier Pro (Video editing suite) etc.
they use Rootkit technology to write specific info to the hard disk on which the program is installed and install a service called AdobeLM.svc which looks for both the HDD serial number calling it directly from the HDD and also locating their hidden info which was written to the disk at install in a location that is not user accessible, if you upgrade or otherwise replace your HDD due to failure or just needing a larger disk then your license becomes invalid and must be reactivated.