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34610810009 is a prime number
BaseRepresentation
bin100000001110111101…
…110000110010011001
310022100002100022122012
4200032331300302121
51031340331410014
623522221435305
72333455013426
oct401675606231
9108302308565
1034610810009
1113750999916
12685b10bb35
1333576c8849
14196495ad4d
15d78804c3e
hex80ef70c99

34610810009 has 2 divisors, whose sum is σ = 34610810010. Its totient is φ = 34610810008.

The previous prime is 34610809991. The next prime is 34610810023. The reversal of 34610810009 is 90001801643.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20663200009 + 13947610000 = 143747^2 + 118100^2 .

It is a cyclic number.

It is not a de Polignac number, because 34610810009 - 216 = 34610744473 is a prime.

It is not a weakly prime, because it can be changed into another prime (34610810089) 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, 17305405004 + 17305405005.

It is an arithmetic number, because the mean of its divisors is an integer number (17305405005).

Almost surely, 234610810009 is an apocalyptic number.

It is an amenable number.

34610810009 is a deficient number, since it is larger than the sum of its proper divisors (1).

34610810009 is an equidigital number, since it uses as much as digits as its factorization.

34610810009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 34610810009 in words is "thirty-four billion, six hundred ten million, eight hundred ten thousand, nine".