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13838162749 is a prime number
BaseRepresentation
bin11001110001101000…
…11001101100111101
31022201101221111121021
430320310121230331
5211320032201444
610205051504141
7666631304545
oct147064315475
938641844537
1013838162749
115961311544
122822458051
1313c6c270a8
14953bca325
1555ed16584
hex338d19b3d

13838162749 has 2 divisors, whose sum is σ = 13838162750. Its totient is φ = 13838162748.

The previous prime is 13838162693. The next prime is 13838162753. The reversal of 13838162749 is 94726183831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11901282649 + 1936880100 = 109093^2 + 44010^2 .

It is an emirp because it is prime and its reverse (94726183831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13838162749 - 217 = 13838031677 is a prime.

It is a super-2 number, since 2×138381627492 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13838162696 and 13838162705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13838162759) 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, 6919081374 + 6919081375.

It is an arithmetic number, because the mean of its divisors is an integer number (6919081375).

Almost surely, 213838162749 is an apocalyptic number.

It is an amenable number.

13838162749 is a deficient number, since it is larger than the sum of its proper divisors (1).

13838162749 is an equidigital number, since it uses as much as digits as its factorization.

13838162749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1741824, while the sum is 52.

The spelling of 13838162749 in words is "thirteen billion, eight hundred thirty-eight million, one hundred sixty-two thousand, seven hundred forty-nine".