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849698647681 = 132172432972
BaseRepresentation
bin11000101110101011111…
…11000110111010000001
310000020012221220121221111
430113111333012322001
5102410140323211211
61450202434523321
7115250216223412
oct14272577067201
93006187817844
10849698647681
112a839a80a344
12118816436541
1362184466c00
142d1a8a4d809
15171814ac421
hexc5d5fc6e81

849698647681 has 81 divisors (see below), whose sum is σ = 1011075467931. Its totient is φ = 713598971904.

The previous prime is 849698647673. The next prime is 849698647709. The reversal of 849698647681 is 186746896948.

The square root of 849698647681 is 921791.

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

It can be written as a sum of positive squares in 13 ways, for example, as 547326234225 + 302372413456 = 739815^2 + 549884^2 .

It is not a de Polignac number, because 849698647681 - 23 = 849698647673 is a prime.

It is a super-2 number, since 2×8496986476812 (a number of 25 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 = 849698647598 and 849698647607.

It is not an unprimeable number, because it can be changed into a prime (849698647661) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8759779825 + ... + 8759779921.

Almost surely, 2849698647681 is an apocalyptic number.

849698647681 is the 921791-st square number.

849698647681 is the 460896-th centered octagonal number.

It is an amenable number.

849698647681 is a deficient number, since it is larger than the sum of its proper divisors (161376820250).

849698647681 is an equidigital number, since it uses as much as digits as its factorization.

849698647681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 76.

The spelling of 849698647681 in words is "eight hundred forty-nine billion, six hundred ninety-eight million, six hundred forty-seven thousand, six hundred eighty-one".

Divisors: 1 13 17 43 97 169 221 289 559 731 1261 1649 1849 2873 3757 4171 7267 9409 9503 12427 16393 21437 24037 28033 31433 48841 54223 70907 122317 123539 159953 161551 179353 278681 312481 364429 404587 408629 534361 704899 921791 1205419 1590121 2079389 2100163 2331589 2719201 3049001 4737577 5259631 5312177 6877979 6946693 11983283 15670447 17397241 27032057 30310657 35349613 39637013 51833017 68375203 89413727 90307009 116925643 203715811 226164133 295753097 459544969 515281169 673829221 1162378451 1520033359 2940133729 3844790261 5027802649 8759779873 19760433667 49982273393 65361434437 849698647681