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41824116097 is a prime number
BaseRepresentation
bin100110111100111010…
…010101110110000001
310222221210110020100221
4212330322111312001
51141123433203342
631114055543041
73010304056351
oct467472256601
9128853406327
1041824116097
1116812694505
12813298aa81
133c36c673ba
14204a960b61
15114bc05a67
hex9bce95d81

41824116097 has 2 divisors, whose sum is σ = 41824116098. Its totient is φ = 41824116096.

The previous prime is 41824116053. The next prime is 41824116101. The reversal of 41824116097 is 79061142814.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36042642801 + 5781473296 = 189849^2 + 76036^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41824116097 is a prime.

It is not a weakly prime, because it can be changed into another prime (41824116197) 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, 20912058048 + 20912058049.

It is an arithmetic number, because the mean of its divisors is an integer number (20912058049).

Almost surely, 241824116097 is an apocalyptic number.

It is an amenable number.

41824116097 is a deficient number, since it is larger than the sum of its proper divisors (1).

41824116097 is an equidigital number, since it uses as much as digits as its factorization.

41824116097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 41824116097 in words is "forty-one billion, eight hundred twenty-four million, one hundred sixteen thousand, ninety-seven".