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The problem is that when you uninstall Hamachi, the ini files containing the configuration are not deleted.
As a rule, these files are located in the folder C:\Documents and Settings\Administrator\Application Data\Hamachi.
So, after uninstalling Hamachi, delete the specified folder, restart your computer if the system requires it, and reinstall Hamachi.
After that, you will have a new IP address, and you can specify a new (or keep the old) account name.
Клан Homo homini
Charity suffereth long, and is kind; charity envieth not; charity vaunteth not itself, is not puffed up,
Doth not behave itself unseemly, seeketh not her own, is not easily provoked, thinketh no evil;
Rejoiceth not in iniquity, but rejoiceth in the truth;
Beareth all things, believeth all things, hopeth all things, endureth all things. Charity never faileth...
Charity suffereth long, and is kind; charity envieth not; charity vaunteth not itself, is not puffed up,
Doth not behave itself unseemly, seeketh not her own, is not easily provoked, thinketh no evil;
Rejoiceth not in iniquity, but rejoiceth in the truth;
Beareth all things, believeth all things, hopeth all things, endureth all things. Charity never faileth...