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First, multiply the consecutive numbers. Your total will be the highest factor.
Probably 19998: from -9998 to 9999 (both inclusive) whose sum is 9999.
There is no such thing as "a consecutive number", so the answer must be "No".
Consecutive means one-after-the-other. So: The number consecutive to 1 is 2, 8 is 9, and so forth.
Yes: 1 and 0 are consecutive.