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66666666 = 231173101137
BaseRepresentation
bin1111111001010…
…0000010101010
311122110000110210
43332110002222
5114031313131
610340521550
71436441313
oct376240252
9148400423
1066666666
11346a4720
121a3b02b6
1310a72541
148bd560a
155cbd146
hex3f940aa

66666666 has 64 divisors (see below), whose sum is σ = 149993856. Its totient is φ = 19584000.

The previous prime is 66666653. The next prime is 66666667.

66666666 is nontrivially palindromic in base 10.

66666666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

66666666 is a modest number, since divided by 66666 gives 666 as remainder.

66666666 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (66666667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486550 + ... + 486686.

It is an arithmetic number, because the mean of its divisors is an integer number (2343654).

Almost surely, 266666666 is an apocalyptic number.

66666666 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 66666666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74996928).

66666666 is an abundant number, since it is smaller than the sum of its proper divisors (83327190).

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

66666666 is a wasteful number, since it uses less digits than its factorization.

66666666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327.

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

The square root of 66666666 is about 8164.9657684524. The cubic root of 66666666 is about 405.4801316866.

The spelling of 66666666 in words is "sixty-six million, six hundred sixty-six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 73 101 137 146 202 219 274 303 411 438 606 803 822 1111 1507 1606 2222 2409 3014 3333 4521 4818 6666 7373 9042 10001 13837 14746 20002 22119 27674 30003 41511 44238 60006 81103 83022 110011 152207 162206 220022 243309 304414 330033 456621 486618 660066 913242 1010101 2020202 3030303 6060606 11111111 22222222 33333333 66666666