Search a number
-
+
66129289 is a prime number
BaseRepresentation
bin1111110001000…
…0110110001001
311121102201022221
43330100312021
5113412114124
610321214041
71432042522
oct374206611
9147381287
1066129289
1134367a06
121a191321
1310914a75
148ad5849
155c13ce4
hex3f10d89

66129289 has 2 divisors, whose sum is σ = 66129290. Its totient is φ = 66129288.

The previous prime is 66129277. The next prime is 66129373. The reversal of 66129289 is 98292166.

66129289 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., 37613689 + 28515600 = 6133^2 + 5340^2 .

It is a cyclic number.

It is not a de Polignac number, because 66129289 - 25 = 66129257 is a prime.

It is not a weakly prime, because it can be changed into another prime (66120289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33064644 + 33064645.

It is an arithmetic number, because the mean of its divisors is an integer number (33064645).

Almost surely, 266129289 is an apocalyptic number.

It is an amenable number.

66129289 is a deficient number, since it is larger than the sum of its proper divisors (1).

66129289 is an equidigital number, since it uses as much as digits as its factorization.

66129289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 43.

The square root of 66129289 is about 8131.9916994547. The cubic root of 66129289 is about 404.3877127089.

The spelling of 66129289 in words is "sixty-six million, one hundred twenty-nine thousand, two hundred eighty-nine".