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434047690517 = 7241216051613
BaseRepresentation
bin1100101000011110100…
…00100010011100010101
31112111100112022020220112
412110033100202130111
524102412202044032
6531222044212405
743234051331600
oct6241720423425
91474315266815
10434047690517
11158095673201
127015583a105
1331c13481c8c
1417018017337
15b455a681b2
hex650f422715

434047690517 has 12 divisors (see below), whose sum is σ = 517227563916. Its totient is φ = 362966708160.

The previous prime is 434047690487. The next prime is 434047690541. The reversal of 434047690517 is 715096740434.

It can be written as a sum of positive squares in 2 ways, for example, as 232734845476 + 201312845041 = 482426^2 + 448679^2 .

It is not a de Polignac number, because 434047690517 - 212 = 434047686421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434047690597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108023798 + ... + 108027815.

It is an arithmetic number, because the mean of its divisors is an integer number (43102296993).

Almost surely, 2434047690517 is an apocalyptic number.

It is an amenable number.

434047690517 is a deficient number, since it is larger than the sum of its proper divisors (83179873399).

434047690517 is a wasteful number, since it uses less digits than its factorization.

434047690517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216051668 (or 216051661 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 50.

The spelling of 434047690517 in words is "four hundred thirty-four billion, forty-seven million, six hundred ninety thousand, five hundred seventeen".

Divisors: 1 7 41 49 287 2009 216051613 1512361291 8858116133 10586529037 62006812931 434047690517