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209129689374489 = 341321236012
BaseRepresentation
bin101111100011001111001100…
…110110001101111100011001
31000102110121021121212201110000
4233203033030312031330121
5204402340100434440424
62020440504125243213
762023056441504522
oct5743171466157431
91012417247781400
10209129689374489
11606a944871a004
121b556899a03509
138c8caca875100
14398dd06837849
151929e231c23c9
hexbe33ccd8df19

209129689374489 has 45 divisors (see below), whose sum is σ = 338285935970829. Its totient is φ = 128694152246400.

The previous prime is 209129689374461. The next prime is 209129689374497. The reversal of 209129689374489 is 984473986921902.

The square root of 209129689374489 is 14461317.

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

209129689374489 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 2 + 9 + 68 + 9 + 3 + 74 + 489 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16077894575625 + 193051794798864 = 4009725^2 + 13894308^2 .

It is not a de Polignac number, because 209129689374489 - 29 = 209129689373977 is a prime.

It is a super-2 number, since 2×2091296893744892 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (209129689374409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1691912289 + ... + 1692035889.

Almost surely, 2209129689374489 is an apocalyptic number.

209129689374489 is the 14461317-th square number.

209129689374489 is the 7230659-th centered octagonal number.

It is an amenable number.

209129689374489 is a deficient number, since it is larger than the sum of its proper divisors (129156246596340).

209129689374489 is an frugal number, since it uses more digits than its factorization.

209129689374489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247240 (or 123617 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

209129689374489 divided by its sum of digits (81) gives a square (2581848016969 = 16068132).

The spelling of 209129689374489 in words is "two hundred nine trillion, one hundred twenty-nine billion, six hundred eighty-nine million, three hundred seventy-four thousand, four hundred eighty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 13689 123601 370803 1112409 1606813 3337227 4820439 10011681 14461317 20888569 43383951 62665707 130151853 187997121 563991363 1691974089 15277207201 45831621603 137494864809 198603693613 412484594427 595811080839 1237453783281 1787433242517 2581848016969 5362299727551 7745544050907 16086899182653 23236632152721 69709896458163 209129689374489