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66647344374666 = 23211431780980857
BaseRepresentation
bin11110010011101100010110…
…10010010110001110001010
322201222102110000120112212200
433021312023102112032022
532213422230124442131
6353425211202021030
720016053216022516
oct1711661322261612
9281872400515780
1066647344374666
111a265a86452520
127584850947776
132b25a8238a863
141265a6a539146
157a89b50312e6
hex3c9d8b49638a

66647344374666 has 48 divisors (see below), whose sum is σ = 157895585947008. Its totient is φ = 20149306084800.

The previous prime is 66647344374661. The next prime is 66647344374683.

66647344374666 is nontrivially palindromic in base 10.

66647344374666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×666473443746662 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66647344374594 and 66647344374603.

It is not an unprimeable number, because it can be changed into a prime (66647344374661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390405091 + ... + 390575766.

It is an arithmetic number, because the mean of its divisors is an integer number (3289491373896).

Almost surely, 266647344374666 is an apocalyptic number.

66647344374666 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66647344374666 is an abundant number, since it is smaller than the sum of its proper divisors (91248241572342).

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

66647344374666 is a wasteful number, since it uses less digits than its factorization.

66647344374666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780981307 (or 780981304 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 72.

The spelling of 66647344374666 in words is "sixty-six trillion, six hundred forty-seven billion, three hundred forty-four million, three hundred seventy-four thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 431 862 1293 2586 3879 4741 7758 9482 14223 28446 42669 85338 780980857 1561961714 2342942571 4685885142 7028827713 8590789427 14057655426 17181578854 25772368281 51544736562 77317104843 154634209686 336602749367 673205498734 1009808248101 2019616496202 3029424744303 3702630243037 6058849488606 7405260486074 11107890729111 22215781458222 33323672187333 66647344374666