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34988824813 is a prime number
BaseRepresentation
bin100000100101011111…
…110001100011101101
310100022102122110110111
4200211133301203231
51033124114343223
624023523540021
72346025050415
oct404537614355
9110272573414
1034988824813
1113925308a48
12694582a611
1333b7b10247
14199cc3b645
15d9bac430d
hex8257f18ed

34988824813 has 2 divisors, whose sum is σ = 34988824814. Its totient is φ = 34988824812.

The previous prime is 34988824799. The next prime is 34988824817. The reversal of 34988824813 is 31842888943.

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., 34988824809 + 4 = 187053^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 34988824813 - 29 = 34988824301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34988824817) 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, 17494412406 + 17494412407.

It is an arithmetic number, because the mean of its divisors is an integer number (17494412407).

Almost surely, 234988824813 is an apocalyptic number.

It is an amenable number.

34988824813 is a deficient number, since it is larger than the sum of its proper divisors (1).

34988824813 is an equidigital number, since it uses as much as digits as its factorization.

34988824813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10616832, while the sum is 58.

The spelling of 34988824813 in words is "thirty-four billion, nine hundred eighty-eight million, eight hundred twenty-four thousand, eight hundred thirteen".