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287146472513 is a prime number
BaseRepresentation
bin1000010110110110100…
…00110111010001000001
31000110011201202011210112
410023123100313101001
514201033444110023
6335525133241105
726513520513305
oct4133320672101
91013151664715
10287146472513
1110086177490a
1247798933195
1321101bc2344
14dc80023d05
157709041478
hex42db437441

287146472513 has 2 divisors, whose sum is σ = 287146472514. Its totient is φ = 287146472512.

The previous prime is 287146472491. The next prime is 287146472519. The reversal of 287146472513 is 315274641782.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249577178929 + 37569293584 = 499577^2 + 193828^2 .

It is a cyclic number.

It is not a de Polignac number, because 287146472513 - 26 = 287146472449 is a prime.

It is not a weakly prime, because it can be changed into another prime (287146472519) by changing a digit.

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 as a sum of consecutive naturals, namely, 143573236256 + 143573236257.

It is an arithmetic number, because the mean of its divisors is an integer number (143573236257).

Almost surely, 2287146472513 is an apocalyptic number.

It is an amenable number.

287146472513 is a deficient number, since it is larger than the sum of its proper divisors (1).

287146472513 is an equidigital number, since it uses as much as digits as its factorization.

287146472513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2257920, while the sum is 50.

The spelling of 287146472513 in words is "two hundred eighty-seven billion, one hundred forty-six million, four hundred seventy-two thousand, five hundred thirteen".