Search a number
-
+
41823355033 is a prime number
BaseRepresentation
bin100110111100110111…
…011100000010011001
310222221202000120101101
4212330313130002121
51141123234330113
631114031351401
73010264436455
oct467467340231
9128852016341
1041823355033
1116812214729
128132682561
133c36a5bb75
14204a803665
15114bb052dd
hex9bcddc099

41823355033 has 2 divisors, whose sum is σ = 41823355034. Its totient is φ = 41823355032.

The previous prime is 41823355027. The next prime is 41823355037. The reversal of 41823355033 is 33055332814.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24016320784 + 17807034249 = 154972^2 + 133443^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41823355033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41823354983 and 41823355001.

It is not a weakly prime, because it can be changed into another prime (41823355037) 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, 20911677516 + 20911677517.

It is an arithmetic number, because the mean of its divisors is an integer number (20911677517).

Almost surely, 241823355033 is an apocalyptic number.

It is an amenable number.

41823355033 is a deficient number, since it is larger than the sum of its proper divisors (1).

41823355033 is an equidigital number, since it uses as much as digits as its factorization.

41823355033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 41823355033 its reverse (33055332814), we get a palindrome (74878687847).

The spelling of 41823355033 in words is "forty-one billion, eight hundred twenty-three million, three hundred fifty-five thousand, thirty-three".