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34324540513 is a prime number
BaseRepresentation
bin11111111101111001…
…101110110001100001
310021121010200022201021
4133331321232301201
51030244040244023
623433554005441
72323410531454
oct377571566141
9107533608637
1034324540513
111361434335a
12679b276881
1333102c7603
14193891d49b
15d5d60935d
hex7fde6ec61

34324540513 has 2 divisors, whose sum is σ = 34324540514. Its totient is φ = 34324540512.

The previous prime is 34324540487. The next prime is 34324540517. The reversal of 34324540513 is 31504542343.

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., 31606795089 + 2717745424 = 177783^2 + 52132^2 .

It is a cyclic number.

It is not a de Polignac number, because 34324540513 - 213 = 34324532321 is a prime.

It is a super-5 number, since 5×343245405135 (a number of 54 digits) contains 55555 as substring.

It is not a weakly prime, because it can be changed into another prime (34324540517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17162270256 + 17162270257.

It is an arithmetic number, because the mean of its divisors is an integer number (17162270257).

Almost surely, 234324540513 is an apocalyptic number.

It is an amenable number.

34324540513 is a deficient number, since it is larger than the sum of its proper divisors (1).

34324540513 is an equidigital number, since it uses as much as digits as its factorization.

34324540513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 34.

The spelling of 34324540513 in words is "thirty-four billion, three hundred twenty-four million, five hundred forty thousand, five hundred thirteen".