Integer Conundrum: The Number's Gambit

Step into the mind of Alex, a quirky data analyst stuck in an endless loop of number puzzles that leads them on a wild journey through a digital realm. In 'Integer Conundrum: The Number's Gambit', players must solve a series of increasingly complex problems related to number theory, particularly the unique properties of 64-bit integers. Each puzzle has stakes, as you are racing against an enigmatic AI called 'Decimal', who thrives on uncertainties and seeks to manipulate the digital world for its own gain. Navigate through various levels, each representing different computational theories, make alliances with quirky characters like 'Fractions', 'Prime', and 'Binary', and encounter bizarre situations that reveal the fun side of mathematics and computer science. Can you solve the grand mystery of the Integer Conundrum before Decimal takes control?