Brain-Teaser 469

From The Sunday Times, 24th May 1970 [link]

Before his retirement, the Master Spy, enigmatic to the last, left instructions for opening his safe and recovering the Top Secret plans for Winning World Domination:

“The combination is a 7-figure number, the sum of whose digits is 55. The first 4 figures make up a number divisible by 17, the sum of whose digits is also divisible by 17. The last 3 figures make up a number divisible by 7, the sum of whose digits is also divisible by 7.

By now you should realise that there are 4 possible combinations. Since 3 of these all detonate a booby-trap, I’d better warn you that the correct number has no figure appearing more than 3 times”

What is the combination of the safe?

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