Search a number
-
+
2041735681 is a prime number
BaseRepresentation
bin111100110110010…
…0110101000000001
312021021212220211001
41321230212220001
513140141020211
6534333252001
7101411316106
oct17154465001
95237786731
102041735681
11958563267
1248b934001
13266ccac2b
14155240aad
15be3a8ac1
hex79b26a01

2041735681 has 2 divisors, whose sum is σ = 2041735682. Its totient is φ = 2041735680.

The previous prime is 2041735679. The next prime is 2041735721. The reversal of 2041735681 is 1865371402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1632887281 + 408848400 = 40409^2 + 20220^2 .

It is a cyclic number.

It is not a de Polignac number, because 2041735681 - 21 = 2041735679 is a prime.

It is a super-2 number, since 2×20417356812 = 8337369182137067522, which contains 22 as substring.

Together with 2041735679, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2041735681.

It is not a weakly prime, because it can be changed into another prime (2041730681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1020867840 + 1020867841.

It is an arithmetic number, because the mean of its divisors is an integer number (1020867841).

Almost surely, 22041735681 is an apocalyptic number.

It is an amenable number.

2041735681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2041735681 is an equidigital number, since it uses as much as digits as its factorization.

2041735681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 2041735681 is about 45185.5693889100. The cubic root of 2041735681 is about 1268.6247292626.

The spelling of 2041735681 in words is "two billion, forty-one million, seven hundred thirty-five thousand, six hundred eighty-one".