Search a number
-
+
290274589057 is a prime number
BaseRepresentation
bin1000011100101011011…
…01101011100110000001
31000202020201211221222211
410032111231223212001
514223440243322212
6341203355502121
726654163203515
oct4162555534601
91022221757884
10290274589057
111021174900a2
1248310457941
13214accb2c8b
141009965a145
15783d9909a7
hex4395b6b981

290274589057 has 2 divisors, whose sum is σ = 290274589058. Its totient is φ = 290274589056.

The previous prime is 290274589043. The next prime is 290274589079. The reversal of 290274589057 is 750985472092.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205738445056 + 84536144001 = 453584^2 + 290751^2 .

It is a cyclic number.

It is not a de Polignac number, because 290274589057 - 223 = 290266200449 is a prime.

It is a super-3 number, since 3×2902745890573 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 290274588992 and 290274589010.

It is not a weakly prime, because it can be changed into another prime (290274589037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 145137294528 + 145137294529.

It is an arithmetic number, because the mean of its divisors is an integer number (145137294529).

Almost surely, 2290274589057 is an apocalyptic number.

It is an amenable number.

290274589057 is a deficient number, since it is larger than the sum of its proper divisors (1).

290274589057 is an equidigital number, since it uses as much as digits as its factorization.

290274589057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 290274589057 in words is "two hundred ninety billion, two hundred seventy-four million, five hundred eighty-nine thousand, fifty-seven".