Search a number
-
+
6366366006 = 237111317232711
BaseRepresentation
bin1011110110111011…
…10000100100110110
3121102200102220100120
411323131300210312
5101014242203011
62531421152410
7313523134560
oct57335604466
917380386316
106366366006
112777714010
1212980bb706
137a5c622a0
1444573a330
15273da5a06
hex17b770936

6366366006 has 256 divisors, whose sum is σ = 18895306752. Its totient is φ = 1373644800.

The previous prime is 6366365987. The next prime is 6366366007. The reversal of 6366366006 is 6006636636.

It is a super-2 number, since 2×63663660062 = 81061232244704784072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6366366007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2346991 + ... + 2349701.

It is an arithmetic number, because the mean of its divisors is an integer number (73809792).

Almost surely, 26366366006 is an apocalyptic number.

6366366006 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 6366366006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9447653376).

6366366006 is an abundant number, since it is smaller than the sum of its proper divisors (12528940746).

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

6366366006 is a wasteful number, since it uses less digits than its factorization.

6366366006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787.

The product of its (nonzero) digits is 419904, while the sum is 42.

The square root of 6366366006 is about 79789.5106263975. The cubic root of 6366366006 is about 1853.3774198994.

The spelling of 6366366006 in words is "six billion, three hundred sixty-six million, three hundred sixty-six thousand, six".