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9814072356 or 9,814,072,356 is 99066 squared, and is the eighty-seventh and largest square number using each of the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 exactly once (sequence A036745 in OEIS).
More generally, it is also the largest distinct-digit perfect power being the 657th such number (A075309). Note that the digital root of both 9814072356 and 657 is 9. It is the square of the third largest 5-digit strobogrammatic number (99866 and 99166 being larger). It is also a member of A090516, the sequence of perfect powers where all neighbouring digits are distinct. All the prime digits are adjacent 7,2,3,5 in a cycle, which is equal to the cycle {2357} of the natural order. 9814072356 is a permutation: of order 10 read left to right, and of order 6 ({9},{8},{2,3},{0,6,4,7,1,5}) read right to left. In base 2 and 3 its last 6 digits are the same (100100). [edit] See also[edit] References
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