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666056736 = 253317137331
BaseRepresentation
bin100111101100110…
…011100000100000
31201102022012002000
4213230303200200
52331002303421
6150031524000
722335250242
oct4754634040
91642265060
10666056736
11311a76314
12167089600
13a7cb6617
1464660092
153d71a226
hex27b33820

666056736 has 192 divisors, whose sum is σ = 2078213760. Its totient is φ = 206807040.

The previous prime is 666056711. The next prime is 666056759. The reversal of 666056736 is 637650666.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 666056691 and 666056700.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2012091 + ... + 2012421.

It is an arithmetic number, because the mean of its divisors is an integer number (10824030).

Almost surely, 2666056736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666056736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039106880).

666056736 is an abundant number, since it is smaller than the sum of its proper divisors (1412157024).

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

666056736 is a wasteful number, since it uses less digits than its factorization.

666056736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 666056736 is about 25808.0750153900. The cubic root of 666056736 is about 873.3139716910.

The spelling of 666056736 in words is "six hundred sixty-six million, fifty-six thousand, seven hundred thirty-six".