Search a number
-
+
20345884289 is a prime number
BaseRepresentation
bin10010111100101101…
…011000111010000001
31221111221101000021222
4102330231120322001
5313132021244124
613202522524425
71320122106623
oct227455307201
957457330258
1020345884289
1186a07a3005
123b39966715
131bc324c6b3
14db0200c13
157e12e025e
hex4bcb58e81

20345884289 has 2 divisors, whose sum is σ = 20345884290. Its totient is φ = 20345884288.

The previous prime is 20345884261. The next prime is 20345884309. The reversal of 20345884289 is 98248854302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13992997264 + 6352887025 = 118292^2 + 79705^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20345884289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20345884289.

It is not a weakly prime, because it can be changed into another prime (20345884259) 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, 10172942144 + 10172942145.

It is an arithmetic number, because the mean of its divisors is an integer number (10172942145).

Almost surely, 220345884289 is an apocalyptic number.

It is an amenable number.

20345884289 is a deficient number, since it is larger than the sum of its proper divisors (1).

20345884289 is an equidigital number, since it uses as much as digits as its factorization.

20345884289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 20345884289 in words is "twenty billion, three hundred forty-five million, eight hundred eighty-four thousand, two hundred eighty-nine".