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34657234097 is a prime number
BaseRepresentation
bin100000010001101110…
…110110110010110001
310022110022200220111212
4200101232312302301
51031434222442342
623531000445505
72334560425553
oct402156666261
9108408626455
1034657234097
1113775117a32
126872779895
133364201415
14196aba34d3
15d7c925182
hex811bb6cb1

34657234097 has 2 divisors, whose sum is σ = 34657234098. Its totient is φ = 34657234096.

The previous prime is 34657234061. The next prime is 34657234123. The reversal of 34657234097 is 79043275643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30612401296 + 4044832801 = 174964^2 + 63599^2 .

It is a cyclic number.

It is not a de Polignac number, because 34657234097 - 26 = 34657234033 is a prime.

It is a super-2 number, since 2×346572340972 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34657234057) 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, 17328617048 + 17328617049.

It is an arithmetic number, because the mean of its divisors is an integer number (17328617049).

Almost surely, 234657234097 is an apocalyptic number.

It is an amenable number.

34657234097 is a deficient number, since it is larger than the sum of its proper divisors (1).

34657234097 is an equidigital number, since it uses as much as digits as its factorization.

34657234097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3810240, while the sum is 50.

The spelling of 34657234097 in words is "thirty-four billion, six hundred fifty-seven million, two hundred thirty-four thousand, ninety-seven".