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38401352766493 is a prime number
BaseRepresentation
bin10001011101101000000101…
…11111011001010000011101
312000222010121022010012002221
420232310002333121100131
520013131432302011433
6213401200553545341
711042256214546213
oct1056640277312035
9160863538105087
1038401352766493
1111265a16574122
124382533415251
1318573029c3092
1496a8c7726cb3
15468d9229c72d
hex22ed02fd941d

38401352766493 has 2 divisors, whose sum is σ = 38401352766494. Its totient is φ = 38401352766492.

The previous prime is 38401352766349. The next prime is 38401352766529. The reversal of 38401352766493 is 39466725310483.

38401352766493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (38401352766349) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36674433507364 + 1726919259129 = 6055942^2 + 1314123^2 .

It is a cyclic number.

It is not a de Polignac number, because 38401352766493 - 29 = 38401352765981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38401352266493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200676383246 + 19200676383247.

It is an arithmetic number, because the mean of its divisors is an integer number (19200676383247).

It is a 1-persistent number, because it is pandigital, but 2⋅38401352766493 = 76802705532986 is not.

Almost surely, 238401352766493 is an apocalyptic number.

It is an amenable number.

38401352766493 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401352766493 is an equidigital number, since it uses as much as digits as its factorization.

38401352766493 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 38401352766493 in words is "thirty-eight trillion, four hundred one billion, three hundred fifty-two million, seven hundred sixty-six thousand, four hundred ninety-three".