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34164352609 is a prime number
BaseRepresentation
bin11111110100010110…
…101010011001100001
310021011222020221012221
4133310112222121201
51024432033240414
623410032351041
72316424130362
oct376426523141
9107158227187
1034164352609
1113541982862
1267556a5481
1332b606c47a
141921541b69
15d4e516224
hex7f45aa661

34164352609 has 2 divisors, whose sum is σ = 34164352610. Its totient is φ = 34164352608.

The previous prime is 34164352591. The next prime is 34164352619. The reversal of 34164352609 is 90625346143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19644825600 + 14519527009 = 140160^2 + 120497^2 .

It is a cyclic number.

It is not a de Polignac number, because 34164352609 - 29 = 34164352097 is a prime.

It is not a weakly prime, because it can be changed into another prime (34164352619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17082176304 + 17082176305.

It is an arithmetic number, because the mean of its divisors is an integer number (17082176305).

Almost surely, 234164352609 is an apocalyptic number.

It is an amenable number.

34164352609 is a deficient number, since it is larger than the sum of its proper divisors (1).

34164352609 is an equidigital number, since it uses as much as digits as its factorization.

34164352609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 34164352609 in words is "thirty-four billion, one hundred sixty-four million, three hundred fifty-two thousand, six hundred nine".