Search a number
-
+
120768065289 = 366122112
BaseRepresentation
bin111000001111001010…
…1100110111100001001
3102112201112102101000000
41300132111212330021
53434313111042124
6131251410433213
711503513421544
oct1603625467411
9375645371000
10120768065289
1147243473a23
121b4a4b92809
13b508368781
145bb935b85b
15321c6206c9
hex1c1e566f09

120768065289 has 63 divisors (see below), whose sum is σ = 184962858327. Its totient is φ = 78816855600.

The previous prime is 120768065287. The next prime is 120768065311. The reversal of 120768065289 is 982560867021.

The square root of 120768065289 is 347517.

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

It can be written as a sum of positive squares in only one way, i.e., 3927152889 + 116840912400 = 62667^2 + 341820^2 .

It is not a de Polignac number, because 120768065289 - 21 = 120768065287 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120768065287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 572360394 + ... + 572360604.

Almost surely, 2120768065289 is an apocalyptic number.

120768065289 is the 347517-th square number.

120768065289 is the 173759-th centered octagonal number.

It is an amenable number.

120768065289 is a deficient number, since it is larger than the sum of its proper divisors (64194793038).

120768065289 is an frugal number, since it uses more digits than its factorization.

120768065289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 120768065289 in words is "one hundred twenty billion, seven hundred sixty-eight million, sixty-five thousand, two hundred eighty-nine".

Divisors: 1 3 9 27 61 81 183 211 243 549 633 729 1647 1899 3721 4941 5697 11163 12871 14823 17091 33489 38613 44469 44521 51273 100467 115839 133563 153819 301401 347517 400689 785131 904203 1042551 1202067 2355393 2712609 2715781 3127653 3606201 7066179 8147343 9382959 10818603 21198537 24442029 32455809 63595611 73326087 165662641 190786833 219978261 496987923 572360499 659934783 1490963769 1979804349 4472891307 13418673921 40256021763 120768065289