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238896417289 is a prime number
BaseRepresentation
bin1101111001111101010…
…1100000101000001001
3211211122002202102010011
43132133111200220021
512403224440323124
6301425243151521
723155035020335
oct3363725405011
9754562672104
10238896417289
1192351888212
123a371b155a1
13196b28680ca
14b7c3c9a7c5
156333118994
hex379f560a09

238896417289 has 2 divisors, whose sum is σ = 238896417290. Its totient is φ = 238896417288.

The previous prime is 238896417283. The next prime is 238896417313. The reversal of 238896417289 is 982714698832.

238896417289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178912080400 + 59984336889 = 422980^2 + 244917^2 .

It is a cyclic number.

It is not a de Polignac number, because 238896417289 - 25 = 238896417257 is a prime.

It is not a weakly prime, because it can be changed into another prime (238896417283) 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 as a sum of consecutive naturals, namely, 119448208644 + 119448208645.

It is an arithmetic number, because the mean of its divisors is an integer number (119448208645).

Almost surely, 2238896417289 is an apocalyptic number.

It is an amenable number.

238896417289 is a deficient number, since it is larger than the sum of its proper divisors (1).

238896417289 is an equidigital number, since it uses as much as digits as its factorization.

238896417289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 83607552, while the sum is 67.

The spelling of 238896417289 in words is "two hundred thirty-eight billion, eight hundred ninety-six million, four hundred seventeen thousand, two hundred eighty-nine".