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666000000 = 27325637
BaseRepresentation
bin100111101100100…
…101101010000000
31201102012022020200
4213230211222000
52330444000000
6150030405200
722334622651
oct4754455200
91642168220
10666000000
11311a37726
12167060800
13a7c96853
1464647528
153d708500
hex27b25a80

666000000 has 336 divisors, whose sum is σ = 2460320070. Its totient is φ = 172800000.

The previous prime is 665999987. The next prime is 666000019. The reversal of 666000000 is 666.

It can be written as a sum of positive squares in 7 ways, for example, as 206669376 + 459330624 = 14376^2 + 21432^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 17999982 + ... + 18000018.

Almost surely, 2666000000 is an apocalyptic number.

666000000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230160035).

666000000 is an abundant number, since it is smaller than the sum of its proper divisors (1794320070).

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

666000000 is an frugal number, since it uses more digits than its factorization.

666000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 666000000 is about 25806.9758011279. The cubic root of 666000000 is about 873.2891741296.

Adding to 666000000 its reverse (666), we get a palindrome (666000666).

Multiplying 666000000 by its reverse (666), we get a square (443556000000 = 6660002).

666000000 divided by its reverse (666) gives a 6-th power (1000000 = 106).

The spelling of 666000000 in words is "six hundred sixty-six million", and thus it is an aban number.