Number one on the song list is "Anti-hero", which has been streamed 59.7 million times in the past week.
The rapper Drake held the previous record, when during a week in September last year he was responsible for nine of the ten most played songs.
Billboard's "Hot 100" list is based on streams, radio plays and sales.
On Billboard's album chart, "Midnights" debuted at number one with the best first week for an album in seven years.
When the album was released on Friday, October 21, it broke Spotify's record for the most streamed album in a day and caused the music service to temporarily crash.
See the review of the new album "Midnights".
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Review: New album "Midnights" by Taylor Swift