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6986839287169 = 722944492
BaseRepresentation
bin110010110101100000000…
…0100101110010110000001
3220201221020211202111100201
41211223000010232112001
51403433021324142134
622505413141445201
71320532251024100
oct145530004562601
926657224674321
106986839287169
1122541136a3a75
1294a11a410801
133b8b18b768a1
141a22443d4037
15c1b25103914
hex65ac012e581

6986839287169 has 45 divisors (see below), whose sum is σ = 8436606570687. Its totient is φ = 5769333846528.

The previous prime is 6986839287137. The next prime is 6986839287173. The reversal of 6986839287169 is 9617829386896.

The square root of 6986839287169 is 2643263.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2389074109569 + 4597765177600 = 1545663^2 + 2144240^2 .

It is not a de Polignac number, because 6986839287169 - 25 = 6986839287137 is a prime.

It is a super-2 number, since 2×69868392871692 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6986839287092 and 6986839287101.

It is not an unprimeable number, because it can be changed into a prime (6986839287119) 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 44 ways as a sum of consecutive naturals, for example, 15560889057 + ... + 15560889505.

Almost surely, 26986839287169 is an apocalyptic number.

6986839287169 is the 2643263-rd square number.

6986839287169 is the 1321632-nd centered octagonal number.

It is an amenable number.

6986839287169 is a deficient number, since it is larger than the sum of its proper divisors (1449767283518).

6986839287169 is an frugal number, since it uses more digits than its factorization.

6986839287169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 485 counting only the distinct ones).

The product of its digits is 3386105856, while the sum is 82.

The spelling of 6986839287169 in words is "six trillion, nine hundred eighty-six billion, eight hundred thirty-nine million, two hundred eighty-seven thousand, one hundred sixty-nine".

Divisors: 1 7 29 49 203 449 841 1421 3143 5887 13021 22001 24389 41209 91147 170723 201601 377609 638029 707281 1195061 1411207 2643263 4950967 5846429 9878449 10950661 18502841 34656769 40925003 76654627 169546441 286475021 317569169 536582389 1186825087 2222984183 4916846789 8307775609 15560889281 34417927523 142588556881 240925492661 998119898167 6986839287169