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433441040993 is a prime number
BaseRepresentation
bin1100100111010110001…
…10010110101001100001
31112102210020210021012122
412103223012112221201
524100141401302433
6531041533434025
743213034026232
oct6235306265141
91472706707178
10433441040993
11157904193464
127000663b915
1331b4789886c
1416d9b61d089
15b41c685198
hex64eb196a61

433441040993 has 2 divisors, whose sum is σ = 433441040994. Its totient is φ = 433441040992.

The previous prime is 433441040971. The next prime is 433441041001. The reversal of 433441040993 is 399040144334.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283654238464 + 149786802529 = 532592^2 + 387023^2 .

It is a cyclic number.

It is not a de Polignac number, because 433441040993 - 28 = 433441040737 is a prime.

It is a super-2 number, since 2×4334410409932 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (433441040093) 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, 216720520496 + 216720520497.

It is an arithmetic number, because the mean of its divisors is an integer number (216720520497).

Almost surely, 2433441040993 is an apocalyptic number.

It is an amenable number.

433441040993 is a deficient number, since it is larger than the sum of its proper divisors (1).

433441040993 is an equidigital number, since it uses as much as digits as its factorization.

433441040993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 559872, while the sum is 44.

The spelling of 433441040993 in words is "four hundred thirty-three billion, four hundred forty-one million, forty thousand, nine hundred ninety-three".