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10285786349 is a prime number
BaseRepresentation
bin10011001010001010…
…01010010011101101
3222112211112002021222
421211011022103231
5132031130130344
64420352033125
7512614512206
oct114505122355
928484462258
1010285786349
1143a9070583
121bb08327a5
13c7bc7c817
146d80b65ad
154030105ee
hex26514a4ed

10285786349 has 2 divisors, whose sum is σ = 10285786350. Its totient is φ = 10285786348.

The previous prime is 10285786307. The next prime is 10285786351. The reversal of 10285786349 is 94368758201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8745616324 + 1540170025 = 93518^2 + 39245^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10285786349 is a prime.

It is a Sophie Germain prime.

Together with 10285786351, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10285786349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10285786549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5142893174 + 5142893175.

It is an arithmetic number, because the mean of its divisors is an integer number (5142893175).

It is a 1-persistent number, because it is pandigital, but 2⋅10285786349 = 20571572698 is not.

Almost surely, 210285786349 is an apocalyptic number.

It is an amenable number.

10285786349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10285786349 is an equidigital number, since it uses as much as digits as its factorization.

10285786349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 10285786349 in words is "ten billion, two hundred eighty-five million, seven hundred eighty-six thousand, three hundred forty-nine".