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217280669013 = 3271976144123
BaseRepresentation
bin1100101001011011101…
…1111110010101010101
3202202211122220121220200
43022112323332111111
512024442322402023
6243452314451113
721461263133142
oct3122673762525
9682748817820
10217280669013
118416a300641
123613aa33a99
1317649502605
14a7331813c9
1559ba5dc743
hex3296efe555

217280669013 has 24 divisors (see below), whose sum is σ = 314706487680. Its totient is φ = 144458957760.

The previous prime is 217280669003. The next prime is 217280669017. The reversal of 217280669013 is 310966082712.

217280669013 is a `hidden beast` number, since 217 + 280 + 66 + 90 + 13 = 666.

It is not a de Polignac number, because 217280669013 - 214 = 217280652629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 217280669013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217280669017) 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 23 ways as a sum of consecutive naturals, for example, 4902370 + ... + 4946492.

It is an arithmetic number, because the mean of its divisors is an integer number (13112770320).

Almost surely, 2217280669013 is an apocalyptic number.

It is an amenable number.

217280669013 is a deficient number, since it is larger than the sum of its proper divisors (97425818667).

217280669013 is a wasteful number, since it uses less digits than its factorization.

217280669013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45609 (or 45606 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 217280669013 in words is "two hundred seventeen billion, two hundred eighty million, six hundred sixty-nine thousand, thirteen".

Divisors: 1 3 9 719 761 2157 2283 6471 6849 44123 132369 397107 547159 1641477 4924431 31724437 33577603 95173311 100732809 285519933 302198427 24142296557 72426889671 217280669013