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288640426205 = 52910319326443
BaseRepresentation
bin1000011001101000100…
…11110110000011011101
31000121000211212212222202
410030310103312003131
514212113422114310
6340333302021245
726565531066365
oct4146423660335
91017024785882
10288640426205
11101458aa538a
1247b35117825
13212ac578501
14dd825d19a5
1577952943a5
hex43344f60dd

288640426205 has 16 divisors (see below), whose sum is σ = 361791031680. Its totient is φ = 220785273408.

The previous prime is 288640426177. The next prime is 288640426213. The reversal of 288640426205 is 502624046882.

It is a cyclic number.

It is not a de Polignac number, because 288640426205 - 230 = 287566684381 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 288640426205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9648287 + ... + 9678156.

It is an arithmetic number, because the mean of its divisors is an integer number (22611939480).

Almost surely, 2288640426205 is an apocalyptic number.

It is an amenable number.

288640426205 is a deficient number, since it is larger than the sum of its proper divisors (73150605475).

288640426205 is a wasteful number, since it uses less digits than its factorization.

288640426205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19326580.

The product of its (nonzero) digits is 1474560, while the sum is 47.

The spelling of 288640426205 in words is "two hundred eighty-eight billion, six hundred forty million, four hundred twenty-six thousand, two hundred five".

Divisors: 1 5 29 103 145 515 2987 14935 19326443 96632215 560466847 1990623629 2802334235 9953118145 57728085241 288640426205