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434675317111 = 7319210134757
BaseRepresentation
bin1100101001101001010…
…10101111100101110111
31112112222021021222201221
412110310222233211313
524110203340121421
6531404224331211
743255442143000
oct6246452574567
91475867258657
10434675317111
11158387980372
12702aba73b07
1331cb3501469
14170775121a7
15b490be1841
hex6534aaf977

434675317111 has 48 divisors (see below), whose sum is σ = 540306158400. Its totient is φ = 349464628800.

The previous prime is 434675317093. The next prime is 434675317121. The reversal of 434675317111 is 111713576434.

It is not a de Polignac number, because 434675317111 - 27 = 434675316983 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 (434675317121) 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 in 47 ways as a sum of consecutive naturals, for example, 12488745 + ... + 12523501.

It is an arithmetic number, because the mean of its divisors is an integer number (11256378300).

Almost surely, 2434675317111 is an apocalyptic number.

434675317111 is a deficient number, since it is larger than the sum of its proper divisors (105630841289).

434675317111 is a wasteful number, since it uses less digits than its factorization.

434675317111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34917 (or 34884 counting only the distinct ones).

The product of its digits is 211680, while the sum is 43.

The spelling of 434675317111 in words is "four hundred thirty-four billion, six hundred seventy-five million, three hundred seventeen thousand, one hundred eleven".

Divisors: 1 7 19 49 101 133 343 361 707 931 1919 2527 4949 6517 13433 17689 34643 34757 36461 94031 123823 243299 255227 658217 660383 1703093 1786589 3510457 4622681 11921651 12506123 12547277 24573199 32358767 66698683 87830939 172012393 226511369 466890781 614816573 1204086751 1267274977 3268235467 4303716011 8870924839 22877648269 62096473873 434675317111