Search a number
-
+
289202465120661 = 3232133607235629
BaseRepresentation
bin100000111000001110011001…
…0001100111010000110010101
31101220222111010001010200212100
41001300130302030322012111
5300401243122032330121
62503025440042512313
7114626121454356231
oct10160346214720625
91356874101120770
10289202465120661
1184170093082414
1228529460505699
13c54a8a1c39511
14515b68c9135c1
152367c46c65026
hex107073233a195

289202465120661 has 6 divisors (see below), whose sum is σ = 417736894063190. Its totient is φ = 192801643413768.

The previous prime is 289202465120633. The next prime is 289202465120707. The reversal of 289202465120661 is 166021564202982.

289202465120661 is a `hidden beast` number, since 2 + 8 + 9 + 20 + 2 + 46 + 512 + 0 + 6 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195851796026436 + 93350669094225 = 13994706^2 + 9661815^2 .

It is not a de Polignac number, because 289202465120661 - 27 = 289202465120533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 289202465120598 and 289202465120607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289202465120761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16066803617806 + ... + 16066803617823.

Almost surely, 2289202465120661 is an apocalyptic number.

It is an amenable number.

289202465120661 is a deficient number, since it is larger than the sum of its proper divisors (128534428942529).

289202465120661 is a wasteful number, since it uses less digits than its factorization.

289202465120661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32133607235635 (or 32133607235632 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 289202465120661 in words is "two hundred eighty-nine trillion, two hundred two billion, four hundred sixty-five million, one hundred twenty thousand, six hundred sixty-one".

Divisors: 1 3 9 32133607235629 96400821706887 289202465120661