Search a number
-
+
6975089289 = 3272412972
BaseRepresentation
bin1100111111011111…
…10110101010001001
3200000002212020201100
412133233312222021
5103241110324124
63112044212013
7334564165200
oct63757665211
920002766640
106975089289
112a5a28a903
121427b3a009
138720c358c
144a2514237
152ac5481c9
hex19fbf6a89

6975089289 has 81 divisors (see below), whose sum is σ = 12137995701. Its totient is φ = 3848463360.

The previous prime is 6975089279. The next prime is 6975089291. The reversal of 6975089289 is 9829805796.

The square root of 6975089289 is 83517.

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 2322758025 + 4652331264 = 48195^2 + 68208^2 .

It is not a de Polignac number, because 6975089289 - 25 = 6975089257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6975089269) 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, 71908089 + ... + 71908185.

Almost surely, 26975089289 is an apocalyptic number.

6975089289 is the 83517-th square number.

6975089289 is the 41759-th centered octagonal number.

It is an amenable number.

6975089289 is a deficient number, since it is larger than the sum of its proper divisors (5162906412).

6975089289 is an equidigital number, since it uses as much as digits as its factorization.

6975089289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The cubic root of 6975089289 is about 1910.6593201817.

The spelling of 6975089289 in words is "six billion, nine hundred seventy-five million, eighty-nine thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 21 41 49 63 97 123 147 287 291 369 441 679 861 873 1681 2009 2037 2583 3977 4753 5043 6027 6111 9409 11767 11931 14259 15129 18081 27839 28227 35301 35793 42777 65863 82369 83517 84681 105903 163057 194873 197589 247107 250551 385769 461041 489171 584619 592767 741321 1141399 1157307 1383123 1467513 1753857 2700383 3424197 3471921 4149369 7989793 8101149 10272591 15816529 18902681 23969379 24303447 47449587 56708043 71908137 110715703 142348761 170124129 332147109 775009921 996441327 2325029763 6975089289