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34709114617 is a prime number
BaseRepresentation
bin100000010100110100…
…110000111011111001
310022120221022201012121
4200110310300323321
51032041013131432
623540052441241
72336060414662
oct402464607371
9108527281177
1034709114617
11137a14325a1
126888019221
133371b97758
141973a2a369
15d82272197
hex814d30ef9

34709114617 has 2 divisors, whose sum is σ = 34709114618. Its totient is φ = 34709114616.

The previous prime is 34709114533. The next prime is 34709114621. The reversal of 34709114617 is 71641190743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23822070336 + 10887044281 = 154344^2 + 104341^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34709114617 is a prime.

It is not a weakly prime, because it can be changed into another prime (34709114317) 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, 17354557308 + 17354557309.

It is an arithmetic number, because the mean of its divisors is an integer number (17354557309).

Almost surely, 234709114617 is an apocalyptic number.

It is an amenable number.

34709114617 is a deficient number, since it is larger than the sum of its proper divisors (1).

34709114617 is an equidigital number, since it uses as much as digits as its factorization.

34709114617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 34709114617 in words is "thirty-four billion, seven hundred nine million, one hundred fourteen thousand, six hundred seventeen".