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34456665413 is a prime number
BaseRepresentation
bin100000000101110001…
…101111110101000101
310021221100021222000002
4200011301233311011
51031031401243123
623455033531045
72326603552322
oct400561576505
9107840258002
1034456665413
1113681986795
126817573a85
1333317a8321
14194c2b3b49
15d6a007528
hex805c6fd45

34456665413 has 2 divisors, whose sum is σ = 34456665414. Its totient is φ = 34456665412.

The previous prime is 34456665391. The next prime is 34456665569. The reversal of 34456665413 is 31456665443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33555645124 + 901020289 = 183182^2 + 30017^2 .

It is a cyclic number.

It is not a de Polignac number, because 34456665413 - 26 = 34456665349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34456665913) 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, 17228332706 + 17228332707.

It is an arithmetic number, because the mean of its divisors is an integer number (17228332707).

Almost surely, 234456665413 is an apocalyptic number.

It is an amenable number.

34456665413 is a deficient number, since it is larger than the sum of its proper divisors (1).

34456665413 is an equidigital number, since it uses as much as digits as its factorization.

34456665413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3110400, while the sum is 47.

The spelling of 34456665413 in words is "thirty-four billion, four hundred fifty-six million, six hundred sixty-five thousand, four hundred thirteen".