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13762501387709 is a prime number
BaseRepresentation
bin1100100001000101010100…
…0000011010010110111101
31210201200102101101101121212
43020101111000122112331
53300441100323401314
645134223355334205
72620210420431224
oct310212500322675
953650371341555
1013762501387709
11442670a278018
121663321a51365
1378aa4bb794b9
143581740b1cbb
1518ceda893e3e
hexc845501a5bd

13762501387709 has 2 divisors, whose sum is σ = 13762501387710. Its totient is φ = 13762501387708.

The previous prime is 13762501387561. The next prime is 13762501387711. The reversal of 13762501387709 is 90778310526731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11964528804484 + 1797972583225 = 3458978^2 + 1340885^2 .

It is an emirp because it is prime and its reverse (90778310526731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13762501387709 - 224 = 13762484610493 is a prime.

Together with 13762501387711, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13762501387309) 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, 6881250693854 + 6881250693855.

It is an arithmetic number, because the mean of its divisors is an integer number (6881250693855).

Almost surely, 213762501387709 is an apocalyptic number.

It is an amenable number.

13762501387709 is a deficient number, since it is larger than the sum of its proper divisors (1).

13762501387709 is an equidigital number, since it uses as much as digits as its factorization.

13762501387709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13335840, while the sum is 59.

The spelling of 13762501387709 in words is "thirteen trillion, seven hundred sixty-two billion, five hundred one million, three hundred eighty-seven thousand, seven hundred nine".