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34709142667 is a prime number
BaseRepresentation
bin100000010100110100…
…110111110010001011
310022120221101010200111
4200110310313302023
51032041020031132
623540053215151
72336060562523
oct402464676213
9108527333614
1034709142667
11137a1451681
1268880314b7
133371ba7454
141973a36683
15d8227a647
hex814d37c8b

34709142667 has 2 divisors, whose sum is σ = 34709142668. Its totient is φ = 34709142666.

The previous prime is 34709142617. The next prime is 34709142691. The reversal of 34709142667 is 76624190743.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34709142667 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34709142667.

It is not a weakly prime, because it can be changed into another prime (34709142617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17354571333 + 17354571334.

It is an arithmetic number, because the mean of its divisors is an integer number (17354571334).

Almost surely, 234709142667 is an apocalyptic number.

34709142667 is a deficient number, since it is larger than the sum of its proper divisors (1).

34709142667 is an equidigital number, since it uses as much as digits as its factorization.

34709142667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 34709142667 in words is "thirty-four billion, seven hundred nine million, one hundred forty-two thousand, six hundred sixty-seven".