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You can do this in several different ways, I have seen some use the TimeSpan class but this served me fine:

DateTime baseTime = new DateTime(1970, 1, 1, 0, 0, 0);
DateTime nowInUTC = DateTime.UtcNow;
Console.WriteLine((nowInUTC - baseTime).Ticks / 10000);

I use this when appending timestamps to files.