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434683834677 = 32159349303097
BaseRepresentation
bin1100101001101010010…
…11001111000100110101
31112112222212022201122100
412110311023033010311
524110213030202202
6531405131052313
743255604426361
oct6246513170465
91475885281570
10434683834677
11158391768784
12702b28a1099
1331cb51c4341
14170786cc2a1
15b49182541c
hex65352cf135

434683834677 has 12 divisors (see below), whose sum is σ = 627882661900. Its totient is φ = 289786448448.

The previous prime is 434683834633. The next prime is 434683834723. The reversal of 434683834677 is 776438386434.

434683834677 is a `hidden beast` number, since 4 + 34 + 68 + 3 + 83 + 467 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 227835337041 + 206848497636 = 477321^2 + 454806^2 .

It is not a de Polignac number, because 434683834677 - 210 = 434683833653 is a prime.

It is a super-2 number, since 2×4346838346772 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434683834577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1282593 + ... + 1585689.

Almost surely, 2434683834677 is an apocalyptic number.

It is an amenable number.

434683834677 is a deficient number, since it is larger than the sum of its proper divisors (193198827223).

434683834677 is a wasteful number, since it uses less digits than its factorization.

434683834677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462452 (or 462449 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 63.

The spelling of 434683834677 in words is "four hundred thirty-four billion, six hundred eighty-three million, eight hundred thirty-four thousand, six hundred seventy-seven".

Divisors: 1 3 9 159349 303097 478047 909291 1434141 2727873 48298203853 144894611559 434683834677