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434039834797 = 10918123394421
BaseRepresentation
bin1100101000011101100…
…10100100100010101101
31112111022222112010212221
412110032302210202231
524102403144203142
6531221203555341
743233624502612
oct6241662444255
91474288463787
10434039834797
11158091198078
127015308bb51
1331c1196141a
1417016d70509
15b455015767
hex650eca48ad

434039834797 has 16 divisors (see below), whose sum is σ = 442336854960. Its totient is φ = 425841753600.

The previous prime is 434039834791. The next prime is 434039834857. The reversal of 434039834797 is 797438930434.

It can be written as a sum of positive squares in 8 ways, for example, as 35204641641 + 398835193156 = 187629^2 + 631534^2 .

It is a cyclic number.

It is not a de Polignac number, because 434039834797 - 235 = 399680096429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434039834791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4549647 + ... + 4644067.

It is an arithmetic number, because the mean of its divisors is an integer number (27646053435).

Almost surely, 2434039834797 is an apocalyptic number.

It is an amenable number.

434039834797 is a deficient number, since it is larger than the sum of its proper divisors (8297020163).

434039834797 is a wasteful number, since it uses less digits than its factorization.

434039834797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94944.

The product of its (nonzero) digits is 54867456, while the sum is 61.

The spelling of 434039834797 in words is "four hundred thirty-four billion, thirty-nine million, eight hundred thirty-four thousand, seven hundred ninety-seven".

Divisors: 1 109 181 233 19729 25397 42173 94421 4596857 10291889 17090201 22000093 1862831909 2398010137 3982016833 434039834797