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209974416364036 = 2217256327572
BaseRepresentation
bin101111101111100001111010…
…011111111101001000000100
31000112110100200002201221120001
4233233201322133331020010
5210010210101042122121
62022324525404251044
762141102531445142
oct5757417237751004
91015410602657501
10209974416364036
11609a4717019a75
121b672547240a84
13902166bcc476c
1439bcb5d082592
151941db2e75991
hexbef87a7fd204

209974416364036 has 81 divisors (see below), whose sum is σ = 391553512323519. Its totient is φ = 98505682668288.

The previous prime is 209974416363997. The next prime is 209974416364039. The reversal of 209974416364036 is 630463614479902.

The square root of 209974416364036 is 14490494.

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

It can be written as a sum of positive squares in 4 ways, for example, as 34033292445636 + 175941123918400 = 5833806^2 + 13264280^2 .

It is a super-4 number, since 4×2099744163640364 (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209974416364039) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 277377035770 + ... + 277377036526.

Almost surely, 2209974416364036 is an apocalyptic number.

209974416364036 is the 14490494-th square number.

It is an amenable number.

209974416364036 is a deficient number, since it is larger than the sum of its proper divisors (181579095959483).

209974416364036 is an frugal number, since it uses more digits than its factorization.

209974416364036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 64.

The spelling of 209974416364036 in words is "two hundred nine trillion, nine hundred seventy-four billion, four hundred sixteen million, three hundred sixty-four thousand, thirty-six".

Divisors: 1 2 4 17 34 68 289 563 578 757 1126 1156 1514 2252 3028 9571 12869 19142 25738 38284 51476 162707 218773 316969 325414 426191 437546 573049 633938 650828 852382 875092 1146098 1267876 1704764 2292196 5388473 7245247 9741833 10776946 14490494 19483666 21553892 28980988 38967332 91604041 123169199 165611161 183208082 239945533 246338398 322626587 331222322 366416164 479891066 492676796 645253174 662444644 959782132 1290506348 4079074061 5484651979 8158148122 10969303958 16316296244 21938607916 69344259037 93239083643 138688518074 181638768481 186478167286 277377036148 363277536962 372956334572 726555073924 3087859064177 6175718128354 12351436256708 52493604091009 104987208182018 209974416364036