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34419378817 is a prime number
BaseRepresentation
bin100000000011100011…
…100000101010000001
310021211202010121102001
4200003203200222001
51030442330110232
623451222424001
72325641615125
oct400343405201
9107752117361
1034419378817
111366292981a
126806b92001
133326b51855
141947369585
15d66ade6e7
hex8038e0a81

34419378817 has 2 divisors, whose sum is σ = 34419378818. Its totient is φ = 34419378816.

The previous prime is 34419378811. The next prime is 34419378827. The reversal of 34419378817 is 71887391443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33841649521 + 577729296 = 183961^2 + 24036^2 .

It is a cyclic number.

It is not a de Polignac number, because 34419378817 - 27 = 34419378689 is a prime.

It is not a weakly prime, because it can be changed into another prime (34419378811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17209689408 + 17209689409.

It is an arithmetic number, because the mean of its divisors is an integer number (17209689409).

Almost surely, 234419378817 is an apocalyptic number.

It is an amenable number.

34419378817 is a deficient number, since it is larger than the sum of its proper divisors (1).

34419378817 is an equidigital number, since it uses as much as digits as its factorization.

34419378817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4064256, while the sum is 55.

The spelling of 34419378817 in words is "thirty-four billion, four hundred nineteen million, three hundred seventy-eight thousand, eight hundred seventeen".