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18069005241 = 32723721732
BaseRepresentation
bin10000110100111111…
…110010001110111001
31201122021000120102100
4100310333302032321
5244001131131431
612144545254013
71206524003400
oct206477621671
951567016370
1018069005241
117732534091
123603334309
13191c6113a1
14c35a70637
1570b4894e6
hex434ff23b9

18069005241 has 81 divisors (see below), whose sum is σ = 31384996461. Its totient is φ = 9988017984.

The previous prime is 18069005233. The next prime is 18069005243. The reversal of 18069005241 is 14250096081.

18069005241 = 13 + 23 + ... + 5183.

The square root of 18069005241 is 134421.

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 11700965241 + 6368040000 = 108171^2 + 79800^2 .

It is not a de Polignac number, because 18069005241 - 23 = 18069005233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 18069005196 and 18069005205.

It is not an unprimeable number, because it can be changed into a prime (18069005243) 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, 104445031 + ... + 104445203.

Almost surely, 218069005241 is an apocalyptic number.

18069005241 is the 134421-st square number.

18069005241 is the 67211-st centered octagonal number.

It is an amenable number.

18069005241 is a deficient number, since it is larger than the sum of its proper divisors (13315991220).

18069005241 is an equidigital number, since it uses as much as digits as its factorization.

18069005241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 18069005241 by its sum of digits (36), we get a square (650484188676 = 8065262).

The spelling of 18069005241 in words is "eighteen billion, sixty-nine million, five thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 37 49 63 111 147 173 259 333 441 519 777 1211 1369 1557 1813 2331 3633 4107 5439 6401 8477 9583 10899 12321 16317 19203 25431 28749 29929 44807 57609 67081 76293 86247 89787 134421 201243 209503 236837 269361 313649 403263 603729 628509 710511 940947 1107373 1466521 1657859 1885527 2131533 2822841 3322119 4399563 4973577 7751611 9966357 11605013 13198689 14920731 23254833 34815039 40972801 54261277 69764499 104445117 122918403 162783831 286809607 368755209 488351493 860428821 2007667249 2581286463 6023001747 18069005241