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260335673361 = 3253232092
BaseRepresentation
bin1111001001110100110…
…1110010000000010001
3220212222020111110112100
43302131031302000101
513231131413021421
6315332504551013
724544234466151
oct3623515620021
9825866443470
10260335673361
11a0453778665
1242555a82469
131b71b48754a
14c859392761
156b8a3d0c26
hex3c9d372011

260335673361 has 27 divisors (see below), whose sum is σ = 383388862129. Its totient is φ = 170229388992.

The previous prime is 260335673359. The next prime is 260335673371. The reversal of 260335673361 is 163376533062.

The square root of 260335673361 is 510231.

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

260335673361 is a `hidden beast` number, since 2 + 603 + 3 + 5 + 6 + 7 + 3 + 36 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21648708225 + 238686965136 = 147135^2 + 488556^2 .

It is not a de Polignac number, because 260335673361 - 21 = 260335673359 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (260335673321) 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 26 ways as a sum of consecutive naturals, for example, 81125125 + ... + 81128333.

Almost surely, 2260335673361 is an apocalyptic number.

260335673361 is the 510231-st square number.

260335673361 is the 255116-th centered octagonal number.

It is an amenable number.

260335673361 is a deficient number, since it is larger than the sum of its proper divisors (123053188768).

260335673361 is an frugal number, since it uses more digits than its factorization.

260335673361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6530 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 260335673361 in words is "two hundred sixty billion, three hundred thirty-five million, six hundred seventy-three thousand, three hundred sixty-one".

Divisors: 1 3 9 53 159 477 2809 3209 8427 9627 25281 28881 170077 510231 1530693 9014081 10297681 27042243 30893043 81126729 92679129 545777093 1637331279 4911993837 28926185929 86778557787 260335673361