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434078096897 is a prime number
BaseRepresentation
bin1100101000100010001…
…00100001111000000001
31112111102122112001121202
412110101010201320001
524102442443100042
6531225052030545
743234600642124
oct6242104417001
91474378461552
10434078096897
11158100850a45
1270163a62455
1331c19869c13
141701c0903bb
15b458572632
hex6511121e01

434078096897 has 2 divisors, whose sum is σ = 434078096898. Its totient is φ = 434078096896.

The previous prime is 434078096779. The next prime is 434078096911. The reversal of 434078096897 is 798690870434.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 305649756736 + 128428340161 = 552856^2 + 358369^2 .

It is a cyclic number.

It is not a de Polignac number, because 434078096897 - 212 = 434078092801 is a prime.

It is a super-3 number, since 3×4340780968973 (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (434078096197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217039048448 + 217039048449.

It is an arithmetic number, because the mean of its divisors is an integer number (217039048449).

Almost surely, 2434078096897 is an apocalyptic number.

It is an amenable number.

434078096897 is a deficient number, since it is larger than the sum of its proper divisors (1).

434078096897 is an equidigital number, since it uses as much as digits as its factorization.

434078096897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73156608, while the sum is 65.

The spelling of 434078096897 in words is "four hundred thirty-four billion, seventy-eight million, ninety-six thousand, eight hundred ninety-seven".