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24838129009 is a prime number
BaseRepresentation
bin10111001000011101…
…111100010101110001
32101010000022200120001
4113020131330111301
5401332030112014
615224355150001
71536340420201
oct271035742561
971100280501
1024838129009
11a596526a51
1249922a5301
13245ab3c275
1412b8a8c401
159a589a974
hex5c877c571

24838129009 has 2 divisors, whose sum is σ = 24838129010. Its totient is φ = 24838129008.

The previous prime is 24838129007. The next prime is 24838129027. The reversal of 24838129009 is 90092183842.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24829880625 + 8248384 = 157575^2 + 2872^2 .

It is a cyclic number.

It is not a de Polignac number, because 24838129009 - 21 = 24838129007 is a prime.

Together with 24838129007, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 24838129009.

It is not a weakly prime, because it can be changed into another prime (24838129007) 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, 12419064504 + 12419064505.

It is an arithmetic number, because the mean of its divisors is an integer number (12419064505).

Almost surely, 224838129009 is an apocalyptic number.

It is an amenable number.

24838129009 is a deficient number, since it is larger than the sum of its proper divisors (1).

24838129009 is an equidigital number, since it uses as much as digits as its factorization.

24838129009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 24838129009 in words is "twenty-four billion, eight hundred thirty-eight million, one hundred twenty-nine thousand, nine".