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288008473349 is a prime number
BaseRepresentation
bin1000011000011101010…
…01001000101100000101
31000112101210202100122102
410030032221020230011
514204320132121344
6340150445041445
726544055426262
oct4141651105405
91015353670572
10288008473349
111011643028a3
1247999556285
132120b672acc
14dd226cc269
157759a63e4e
hex430ea48b05

288008473349 has 2 divisors, whose sum is σ = 288008473350. Its totient is φ = 288008473348.

The previous prime is 288008473331. The next prime is 288008473411. The reversal of 288008473349 is 943374800882.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 267671716900 + 20336756449 = 517370^2 + 142607^2 .

It is a cyclic number.

It is not a de Polignac number, because 288008473349 - 224 = 287991696133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 288008473294 and 288008473303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288008473849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144004236674 + 144004236675.

It is an arithmetic number, because the mean of its divisors is an integer number (144004236675).

Almost surely, 2288008473349 is an apocalyptic number.

It is an amenable number.

288008473349 is a deficient number, since it is larger than the sum of its proper divisors (1).

288008473349 is an equidigital number, since it uses as much as digits as its factorization.

288008473349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 288008473349 in words is "two hundred eighty-eight billion, eight million, four hundred seventy-three thousand, three hundred forty-nine".