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38401352766349 is a prime number
BaseRepresentation
bin10001011101101000000101…
…11111011001001110001101
312000222010121022010011220121
420232310002333121032031
520013131432302010344
6213401200553544541
711042256214545616
oct1056640277311615
9160863538104817
1038401352766349
1111265a16574001
124382533415151
1318573029c2cb1
1496a8c7726c0d
15468d9229c684
hex22ed02fd938d

38401352766349 has 2 divisors, whose sum is σ = 38401352766350. Its totient is φ = 38401352766348.

The previous prime is 38401352766313. The next prime is 38401352766493. The reversal of 38401352766349 is 94366725310483.

Together with next prime (38401352766493) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25735633380900 + 12665719385449 = 5073030^2 + 3558893^2 .

It is a cyclic number.

It is not a de Polignac number, because 38401352766349 - 223 = 38401344377741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38401352766149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200676383174 + 19200676383175.

It is an arithmetic number, because the mean of its divisors is an integer number (19200676383175).

It is a 1-persistent number, because it is pandigital, but 2⋅38401352766349 = 76802705532698 is not.

Almost surely, 238401352766349 is an apocalyptic number.

It is an amenable number.

38401352766349 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401352766349 is an equidigital number, since it uses as much as digits as its factorization.

38401352766349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 78382080, while the sum is 61.

The spelling of 38401352766349 in words is "thirty-eight trillion, four hundred one billion, three hundred fifty-two million, seven hundred sixty-six thousand, three hundred forty-nine".