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6066000000 = 273256337
BaseRepresentation
bin1011010011000111…
…11101000010000000
3120122202020201122200
411221203331002000
544410344000000
62441531233200
7303215102124
oct55143750200
916582221580
106066000000
11263310a645
1212135a8800
13758966a18
144178ad584
15257823500
hex1698fd080

6066000000 has 336 divisors, whose sum is σ = 21883899570. Its totient is φ = 1612800000.

The previous prime is 6065999999. The next prime is 6066000019. The reversal of 6066000000 is 6606.

6066000000 is a `hidden beast` number, since 6 + 0 + 660 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3944844864 + 2121155136 = 62808^2 + 46056^2 .

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 17999832 + ... + 18000168.

Almost surely, 26066000000 is an apocalyptic number.

6066000000 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 6066000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10941949785).

6066000000 is an abundant number, since it is smaller than the sum of its proper divisors (15817899570).

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

6066000000 is an frugal number, since it uses more digits than its factorization.

6066000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 347 counting only the distinct ones).

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

The square root of 6066000000 is about 77884.5299144830. The cubic root of 6066000000 is about 1823.7590863718.

Adding to 6066000000 its reverse (6606), we get a palindrome (6066006606).

The spelling of 6066000000 in words is "six billion, sixty-six million", and thus it is an aban number, an eban number, and an uban number.