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6606666066 = 237113139091
BaseRepresentation
bin1100010011100100…
…11011100101010010
3122001102121102001210
412021302123211102
5102012301303231
63011323440550
7322501510050
oct61162334522
918042542053
106606666066
112890322000
121344686156
13813989880
1446960d1d0
1528a020a46
hex189c9b952

6606666066 has 128 divisors (see below), whose sum is σ = 17889564672. Its totient is φ = 1583841600.

The previous prime is 6606666047. The next prime is 6606666083.

6606666066 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 722181 + ... + 731271.

It is an arithmetic number, because the mean of its divisors is an integer number (139762224).

Almost surely, 26606666066 is an apocalyptic number.

6606666066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6606666066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8944782336).

6606666066 is an abundant number, since it is smaller than the sum of its proper divisors (11282898606).

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

6606666066 is a wasteful number, since it uses less digits than its factorization.

6606666066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9149 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The square root of 6606666066 is about 81281.4004923636. The cubic root of 6606666066 is about 1876.4087608689.

It can be divided in two parts, 660 and 6666066, that added together give a triangular number (6666726 = T3651).

The spelling of 6606666066 in words is "six billion, six hundred six million, six hundred sixty-six thousand, sixty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1331 1573 1694 2002 2541 2662 3003 3146 3993 4719 5082 6006 7986 9091 9317 9438 11011 17303 18182 18634 22022 27273 27951 33033 34606 51909 54546 55902 63637 66066 100001 103818 118183 121121 127274 190911 200002 236366 242242 300003 354549 363363 381822 600006 700007 709098 726726 827281 1100011 1300013 1400014 1654562 2100021 2200022 2481843 2600026 3300033 3900039 4200042 4963686 6600066 7700077 7800078 9100091 12100121 14300143 15400154 18200182 23100231 24200242 27300273 28600286 36300363 42900429 46200462 54600546 72600726 84700847 85800858 100101001 157301573 169401694 200202002 254102541 300303003 314603146 471904719 508205082 600606006 943809438 1101111011 2202222022 3303333033 6606666066