Search a number
6666666666 = 2311412719091
BaseRepresentation
bin1100011010101110…
…10100001010101010
3122012121111202102020
412031113110022222
5102123131313131
63021305445310
7324130505652
oct61527241252
918177452366
106666666666
112911183380
1213607a0836
13823236b9a
1447358b362
15290423996
hex18d5d42aa

6666666666 has 64 divisors (see below), whose sum is σ = 14956849152. Its totient is φ = 1963440000.

The previous prime is 6666666661. The next prime is 6666666757.

6666666666 is nontrivially palindromic in base 10.

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

6666666666 is a modest number, since divided by 666666 gives 6666 as remainder.

6666666666 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 (6666666661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728781 + ... + 737871.

It is an arithmetic number, because the mean of its divisors is an integer number (233700768).

Almost surely, 26666666666 is an apocalyptic number.

6666666666 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 6666666666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7478424576).

6666666666 is an abundant number, since it is smaller than the sum of its proper divisors (8290182486).

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

6666666666 is a wasteful number, since it uses less digits than its factorization.

6666666666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419.

The product of its digits is 60466176, while the sum is 60.

The square root of 6666666666 is about 81649.6580886901. The cubic root of 6666666666 is about 1882.0720576993.

The spelling of 6666666666 in words is "six billion, six hundred sixty-six million, six hundred sixty-six thousand, six hundred sixty-six".