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20217166666 = 2172417011217
BaseRepresentation
bin10010110101000010…
…010111101101001010
31221011222011110220121
4102311002113231022
5312401043313131
613142044013454
71314000036604
oct226502275512
957158143817
1020217166666
118635077604
123b0283128a
131ba2692818
14d9b096174
157d4d66911
hex4b5097b4a

20217166666 has 48 divisors (see below), whose sum is σ = 33074502552. Its totient is φ = 9261056000.

The previous prime is 20217166663. The next prime is 20217166679. The reversal of 20217166666 is 66666171202.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5079555441 + 15137611225 = 71271^2 + 123035^2 .

It is not an unprimeable number, because it can be changed into a prime (20217166663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16611690 + ... + 16612906.

Almost surely, 220217166666 is an apocalyptic number.

20217166666 is a deficient number, since it is larger than the sum of its proper divisors (12857335886).

20217166666 is a wasteful number, since it uses less digits than its factorization.

20217166666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 20217166666 in words is "twenty billion, two hundred seventeen million, one hundred sixty-six thousand, six hundred sixty-six".

Divisors: 1 2 17 34 41 82 289 578 697 701 1217 1394 1402 2434 11849 11917 20689 23698 23834 28741 41378 49897 57482 99794 202589 351713 405178 488597 703426 848249 853117 977194 1696498 1706234 8306149 14420233 14502989 16612298 28840466 29005978 34977797 69955594 246550813 493101626 594622549 1189245098 10108583333 20217166666