If you have not got the VirtualCenter and thus cannot use the UpdateManager then you will have to do things the hard way and manually install all the patches. This can be a bit of a paint but the following can make like easyer
Download all the patches into a new directory ie. /files/Patches/ToApply
Untar all the files within this directory. This should produce a number of subdirectories such as ESX350-200805501-BG etc
Run the folling command
for update in `ls`; do esxupdate –noreboot –force -r file:///files/Patches/TODO/$update update; done
This will attempt to install all the updates that have been unzipped. Check the logs to see if any failed due to the machine not being in maintenance mode. If this is the case you will have to rerun the updates.
Once finished move all the patches into a directory such as /files/Patches/Done