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413204442529 is a prime number
BaseRepresentation
bin1100000001101001110…
…01110110110110100001
31110111112221001112212211
412000310321312312201
523232220314130104
6513453513122121
741565406545004
oct6006471666641
91414487045784
10413204442529
1114a26a15451a
12680b93b9341
132cc71191448
1415ddbb4953b
15ab35c80e04
hex6034e76da1

413204442529 has 2 divisors, whose sum is σ = 413204442530. Its totient is φ = 413204442528.

The previous prime is 413204442481. The next prime is 413204442571. The reversal of 413204442529 is 925244402314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 380013068304 + 33191374225 = 616452^2 + 182185^2 .

It is a cyclic number.

It is not a de Polignac number, because 413204442529 - 29 = 413204442017 is a prime.

It is a super-2 number, since 2×4132044425292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413204442491 and 413204442500.

It is not a weakly prime, because it can be changed into another prime (413201442529) 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, 206602221264 + 206602221265.

It is an arithmetic number, because the mean of its divisors is an integer number (206602221265).

Almost surely, 2413204442529 is an apocalyptic number.

It is an amenable number.

413204442529 is a deficient number, since it is larger than the sum of its proper divisors (1).

413204442529 is an equidigital number, since it uses as much as digits as its factorization.

413204442529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 413204442529 in words is "four hundred thirteen billion, two hundred four million, four hundred forty-two thousand, five hundred twenty-nine".