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66516606 = 23313194987
BaseRepresentation
bin1111110110111…
…1011001111110
311122011101122000
43331233121332
5114012012411
610333403130
71435244652
oct375573176
9148141560
1066516606
1134601a02
121a3394a6
1310a1c150
148b96a62
155c8d956
hex3f6f67e

66516606 has 64 divisors (see below), whose sum is σ = 167596800. Its totient is φ = 19385568.

The previous prime is 66516589. The next prime is 66516613. The reversal of 66516606 is 60661566.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10845 + ... + 15831.

It is an arithmetic number, because the mean of its divisors is an integer number (2618700).

Almost surely, 266516606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66516606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83798400).

66516606 is an abundant number, since it is smaller than the sum of its proper divisors (101080194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66516606 is a wasteful number, since it uses less digits than its factorization.

66516606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 66516606 is about 8155.7713307817. The cubic root of 66516606 is about 405.1756713898.

It can be divided in two parts, 665 and 16606, that added together give a palindrome (17271).

The spelling of 66516606 in words is "sixty-six million, five hundred sixteen thousand, six hundred six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 4987 6669 9974 13338 14961 29922 44883 64831 89766 94753 129662 134649 189506 194493 269298 284259 388986 568518 583479 852777 1166958 1231789 1705554 1750437 2463578 2558331 3500874 3695367 5116662 7390734 11086101 22172202 33258303 66516606