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981948849317 is a prime number
BaseRepresentation
bin11100100101000001011…
…01100101110010100101
310110212120200222221220122
432102200231211302211
5112042012401134232
62031033455411325
7130641415334402
oct16224055456245
93425520887818
10981948849317
11349495587247
1213a384823b45
137179c5991a7
1435752d032a9
151a821b57312
hexe4a0b65ca5

981948849317 has 2 divisors, whose sum is σ = 981948849318. Its totient is φ = 981948849316.

The previous prime is 981948849179. The next prime is 981948849319. The reversal of 981948849317 is 713948849189.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 891978246916 + 89970602401 = 944446^2 + 299951^2 .

It is a cyclic number.

It is not a de Polignac number, because 981948849317 - 28 = 981948849061 is a prime.

It is a super-3 number, since 3×9819488493173 (a number of 37 digits) contains 333 as substring.

Together with 981948849319, 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 (981948849319) 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, 490974424658 + 490974424659.

It is an arithmetic number, because the mean of its divisors is an integer number (490974424659).

Almost surely, 2981948849317 is an apocalyptic number.

It is an amenable number.

981948849317 is a deficient number, since it is larger than the sum of its proper divisors (1).

981948849317 is an equidigital number, since it uses as much as digits as its factorization.

981948849317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 125411328, while the sum is 71.

The spelling of 981948849317 in words is "nine hundred eighty-one billion, nine hundred forty-eight million, eight hundred forty-nine thousand, three hundred seventeen".