Search a number
-
+
2033442113537 is a prime number
BaseRepresentation
bin11101100101110010100…
…110000100100000000001
321012101200002002020102202
4131211302212010200001
5231303442140113122
64154052253322545
7266624406531242
oct35456246044001
97171602066382
102033442113537
1171441807474a
1228a117796455
131199a2aa8b33
14705c2108cc9
1537d63dcbe92
hex1d972984801

2033442113537 has 2 divisors, whose sum is σ = 2033442113538. Its totient is φ = 2033442113536.

The previous prime is 2033442113509. The next prime is 2033442113539. The reversal of 2033442113537 is 7353112443302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1795945736641 + 237496376896 = 1340129^2 + 487336^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033442113537 - 28 = 2033442113281 is a prime.

Together with 2033442113539, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2033442113537.

It is not a weakly prime, because it can be changed into another prime (2033442113539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016721056768 + 1016721056769.

It is an arithmetic number, because the mean of its divisors is an integer number (1016721056769).

Almost surely, 22033442113537 is an apocalyptic number.

It is an amenable number.

2033442113537 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033442113537 is an equidigital number, since it uses as much as digits as its factorization.

2033442113537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 38.

Adding to 2033442113537 its reverse (7353112443302), we get a palindrome (9386554556839).

The spelling of 2033442113537 in words is "two trillion, thirty-three billion, four hundred forty-two million, one hundred thirteen thousand, five hundred thirty-seven".