Search a number
-
+
288479785133 is a prime number
BaseRepresentation
bin1000011001010101011…
…11000011000010101101
31000120121122121110212102
410030222233003002231
514211301311111013
6340305322544445
726561540500151
oct4145257030255
91016548543772
10288479785133
11101386355371
1247aab368125
13212851c2017
14dd69137061
157786111d58
hex432abc30ad

288479785133 has 2 divisors, whose sum is σ = 288479785134. Its totient is φ = 288479785132.

The previous prime is 288479785129. The next prime is 288479785141. The reversal of 288479785133 is 331587974882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288366852004 + 112933129 = 536998^2 + 10627^2 .

It is a cyclic number.

It is not a de Polignac number, because 288479785133 - 22 = 288479785129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 288479785133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288479785163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144239892566 + 144239892567.

It is an arithmetic number, because the mean of its divisors is an integer number (144239892567).

Almost surely, 2288479785133 is an apocalyptic number.

It is an amenable number.

288479785133 is a deficient number, since it is larger than the sum of its proper divisors (1).

288479785133 is an equidigital number, since it uses as much as digits as its factorization.

288479785133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 81285120, while the sum is 65.

The spelling of 288479785133 in words is "two hundred eighty-eight billion, four hundred seventy-nine million, seven hundred eighty-five thousand, one hundred thirty-three".