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2728302066 = 2327212832411
BaseRepresentation
bin1010001010011110…
…1001010111110010
321001010210002211200
42202213221113302
521041421131231
61130420552030
7124416120300
oct24247512762
97033702750
102728302066
1111800677a6
12641852616
13346315929
141bc4bd270
1510e7c5be6
hexa29e95f2

2728302066 has 72 divisors (see below), whose sum is σ = 6884648784. Its totient is φ = 778584240.

The previous prime is 2728302037. The next prime is 2728302079. The reversal of 2728302066 is 6602038272.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2728302066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1130401 + ... + 1132811.

It is an arithmetic number, because the mean of its divisors is an integer number (95620122).

Almost surely, 22728302066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728302066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442324392).

2728302066 is an abundant number, since it is smaller than the sum of its proper divisors (4156346718).

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

2728302066 is a wasteful number, since it uses less digits than its factorization.

2728302066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3716 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2728302066 is about 52233.1510249956. The cubic root of 2728302066 is about 1397.3251761002.

The spelling of 2728302066 in words is "two billion, seven hundred twenty-eight million, three hundred two thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1283 2411 2566 3849 4822 7233 7698 8981 11547 14466 16877 17962 21699 23094 26943 33754 43398 50631 53886 62867 80829 101262 118139 125734 151893 161658 188601 236278 303786 354417 377202 565803 708834 1063251 1131606 2126502 3093313 6186626 9279939 18559878 21653191 27839817 43306382 55679634 64959573 129919146 151572337 194878719 303144674 389757438 454717011 909434022 1364151033 2728302066