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434856217709 is a prime number
BaseRepresentation
bin1100101001111110111…
…00110100110001101101
31112120102212200200201002
412110333130310301231
524111041142431314
6531434205530045
743263066601664
oct6247734646155
91476385620632
10434856217709
1115846aaa86a1
1270340573925
1332011b2c234
1417093561ddb
15b4a1a26ade
hex653f734c6d

434856217709 has 2 divisors, whose sum is σ = 434856217710. Its totient is φ = 434856217708.

The previous prime is 434856217637. The next prime is 434856217711. The reversal of 434856217709 is 907712658434.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 346455846025 + 88400371684 = 588605^2 + 297322^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-434856217709 is a prime.

Together with 434856217711, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (434856217409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217428108854 + 217428108855.

It is an arithmetic number, because the mean of its divisors is an integer number (217428108855).

It is a 1-persistent number, because it is pandigital, but 2⋅434856217709 = 869712435418 is not.

Almost surely, 2434856217709 is an apocalyptic number.

It is an amenable number.

434856217709 is a deficient number, since it is larger than the sum of its proper divisors (1).

434856217709 is an equidigital number, since it uses as much as digits as its factorization.

434856217709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 434856217709 in words is "four hundred thirty-four billion, eight hundred fifty-six million, two hundred seventeen thousand, seven hundred nine".