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6286428369 = 321321921072
BaseRepresentation
bin1011101101011001…
…10100100011010001
3121020010000122112100
411312230310203101
5100333311201434
62515443551013
7311532521334
oct56654644321
917203018470
106286428369
112736585751
12127538b469
13792524400
14438c8c61b
1526bd65699
hex176b348d1

6286428369 has 81 divisors (see below), whose sum is σ = 10475253243. Its totient is φ = 3630710304.

The previous prime is 6286428319. The next prime is 6286428377. The reversal of 6286428369 is 9638246826.

The square root of 6286428369 is 79287.

It is a perfect power (a square), and thus also a powerful number.

6286428369 is a `hidden beast` number, since 628 + 6 + 4 + 2 + 8 + 3 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 929945025 + 5356483344 = 30495^2 + 73188^2 .

It is not a de Polignac number, because 6286428369 - 29 = 6286427857 is a prime.

It is a super-2 number, since 2×62864283692 = 79038363277136000322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6286428319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 58751614 + ... + 58751720.

Almost surely, 26286428369 is an apocalyptic number.

6286428369 is the 79287-th square number.

6286428369 is the 39644-th centered octagonal number.

It is an amenable number.

6286428369 is a deficient number, since it is larger than the sum of its proper divisors (4188824874).

6286428369 is a wasteful number, since it uses less digits than its factorization.

6286428369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The cubic root of 6286428369 is about 1845.5875723481.

The spelling of 6286428369 in words is "six billion, two hundred eighty-six million, four hundred twenty-eight thousand, three hundred sixty-nine".

Divisors: 1 3 9 13 19 39 57 107 117 169 171 247 321 361 507 741 963 1083 1391 1521 2033 2223 3211 3249 4173 4693 6099 9633 11449 12519 14079 18083 18297 26429 28899 34347 38627 42237 54249 61009 79287 103041 115881 148837 162747 183027 217531 237861 343577 347643 446511 502151 549081 652593 1030731 1339533 1506453 1934881 1957779 2827903 3092193 4133089 4519359 5804643 6527963 8483709 12399267 17413929 19583889 25451127 36762739 37197801 53730157 58751667 110288217 161190471 330864651 483571413 698492041 2095476123 6286428369