Search a number
-
+
289371912489 = 32112163012
BaseRepresentation
bin1000011010111111110…
…10001111100100101001
31000122220211022020112100
410031133322033210221
514220113202144424
6340534032204013
726622622446432
oct4153772174451
91018824266470
10289371912489
111017a399a900
12480ba099609
1321397c9022a
1410011804489
1577d95d5dc9
hex435fe8f929

289371912489 has 27 divisors (see below), whose sum is σ = 459462563287. Its totient is φ = 175366158000.

The previous prime is 289371912439. The next prime is 289371912497. The reversal of 289371912489 is 984219173982.

The square root of 289371912489 is 537933.

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

289371912489 is a `hidden beast` number, since 2 + 89 + 3 + 71 + 9 + 1 + 2 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 243361662489 + 46010250000 = 493317^2 + 214500^2 .

It is not a de Polignac number, because 289371912489 - 211 = 289371910441 is a prime.

It is a super-2 number, since 2×2893719124892 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (289371912409) 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, 17743639 + ... + 17759939.

Almost surely, 2289371912489 is an apocalyptic number.

289371912489 is the 537933-rd square number.

289371912489 is the 268967-th centered octagonal number.

It is an amenable number.

289371912489 is a deficient number, since it is larger than the sum of its proper divisors (170090650798).

289371912489 is an frugal number, since it uses more digits than its factorization.

289371912489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32630 (or 16315 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 289371912489 in words is "two hundred eighty-nine billion, three hundred seventy-one million, nine hundred twelve thousand, four hundred eighty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 16301 48903 146709 179311 537933 1613799 1972421 5917263 17751789 265722601 797167803 2391503409 2922948611 8768845833 26306537499 32152434721 96457304163 289371912489