Search a number
-
+
289329383735801 is a prime number
BaseRepresentation
bin100000111001001001011111…
…1001001000000000111111001
31101221102121201012220101002222
41001302102333021000013321
5300410333034214021201
62503204030045133425
7114641233563656243
oct10162227711000771
91357377635811088
10289329383735801
11842099a2354492
1228549b8125a275
13c55984a602ca6
14516388ca6d093
15236b1c430a91b
hex10724bf2401f9

289329383735801 has 2 divisors, whose sum is σ = 289329383735802. Its totient is φ = 289329383735800.

The previous prime is 289329383735771. The next prime is 289329383735849. The reversal of 289329383735801 is 108537383923982.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 273881150916025 + 15448232819776 = 16549355^2 + 3930424^2 .

It is a cyclic number.

It is not a de Polignac number, because 289329383735801 - 238 = 289054505828857 is a prime.

It is a super-2 number, since 2×2893293837358012 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (289329383735101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144664691867900 + 144664691867901.

It is an arithmetic number, because the mean of its divisors is an integer number (144664691867901).

Almost surely, 2289329383735801 is an apocalyptic number.

It is an amenable number.

289329383735801 is a deficient number, since it is larger than the sum of its proper divisors (1).

289329383735801 is an equidigital number, since it uses as much as digits as its factorization.

289329383735801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 470292480, while the sum is 71.

The spelling of 289329383735801 in words is "two hundred eighty-nine trillion, three hundred twenty-nine billion, three hundred eighty-three million, seven hundred thirty-five thousand, eight hundred one".