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34431167689 is a prime number
BaseRepresentation
bin100000000100010000…
…011110110011001001
310021212120022112200221
4200010100132303021
51031003334331224
623452323230041
72326144045042
oct400420366311
9107776275627
1034431167689
1113669550996
12680ab18321
13332941b709
141948b578c9
15d67b6c6e4
hex80441ecc9

34431167689 has 2 divisors, whose sum is σ = 34431167690. Its totient is φ = 34431167688.

The previous prime is 34431167653. The next prime is 34431167711. The reversal of 34431167689 is 98676113443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33196840000 + 1234327689 = 182200^2 + 35133^2 .

It is an emirp because it is prime and its reverse (98676113443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34431167689 - 227 = 34296949961 is a prime.

It is not a weakly prime, because it can be changed into another prime (34431167629) 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, 17215583844 + 17215583845.

It is an arithmetic number, because the mean of its divisors is an integer number (17215583845).

Almost surely, 234431167689 is an apocalyptic number.

It is an amenable number.

34431167689 is a deficient number, since it is larger than the sum of its proper divisors (1).

34431167689 is an equidigital number, since it uses as much as digits as its factorization.

34431167689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2612736, while the sum is 52.

The spelling of 34431167689 in words is "thirty-four billion, four hundred thirty-one million, one hundred sixty-seven thousand, six hundred eighty-nine".