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289025711645 = 511419872
BaseRepresentation
bin1000011010010110100…
…01100101111000011101
31000122000200212102020212
410031023101211320131
514213411040233040
6340435424022205
726611220004506
oct4151321457035
91018020772225
10289025711645
11101636530000
1248022161965
1321341337368
14ddbb845bad
1577b8eecd65
hex434b465e1d

289025711645 has 30 divisors (see below), whose sum is σ = 381703670910. Its totient is φ = 210094729680.

The previous prime is 289025711617. The next prime is 289025711671. The reversal of 289025711645 is 546117520982.

It can be written as a sum of positive squares in only one way, i.e., 231220569316 + 57805142329 = 480854^2 + 240427^2 .

It is not a de Polignac number, because 289025711645 - 212 = 289025707549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 289025711593 and 289025711602.

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 29 ways as a sum of consecutive naturals, for example, 145457342 + ... + 145459328.

It is an arithmetic number, because the mean of its divisors is an integer number (12723455697).

Almost surely, 2289025711645 is an apocalyptic number.

It is an amenable number.

289025711645 is a deficient number, since it is larger than the sum of its proper divisors (92677959265).

289025711645 is an frugal number, since it uses more digits than its factorization.

289025711645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 289025711645 in words is "two hundred eighty-nine billion, twenty-five million, seven hundred eleven thousand, six hundred forty-five".

Divisors: 1 5 11 55 121 605 1331 1987 6655 9935 14641 21857 73205 109285 240427 1202135 2644697 3948169 13223485 19740845 29091667 43429859 145458335 217149295 477728449 2388642245 5255012939 26275064695 57805142329 289025711645