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985747000753 is a prime number
BaseRepresentation
bin11100101100000110001…
…10011000110110110001
310111020101101220001012001
432112003012120312301
5112122302213011003
62032502415134001
7131134505154244
oct16260306306661
93436341801161
10985747000753
11350064535679
1213b064814301
1371c56437088
14359d351325b
151a99530a61d
hexe583198db1

985747000753 has 2 divisors, whose sum is σ = 985747000754. Its totient is φ = 985747000752.

The previous prime is 985747000703. The next prime is 985747000813. The reversal of 985747000753 is 357000747589.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 916582208689 + 69164792064 = 957383^2 + 262992^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-985747000753 is a prime.

It is a super-3 number, since 3×9857470007533 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 985747000694 and 985747000703.

It is not a weakly prime, because it can be changed into another prime (985747000703) 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, 492873500376 + 492873500377.

It is an arithmetic number, because the mean of its divisors is an integer number (492873500377).

Almost surely, 2985747000753 is an apocalyptic number.

It is an amenable number.

985747000753 is a deficient number, since it is larger than the sum of its proper divisors (1).

985747000753 is an equidigital number, since it uses as much as digits as its factorization.

985747000753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7408800, while the sum is 55.

The spelling of 985747000753 in words is "nine hundred eighty-five billion, seven hundred forty-seven million, seven hundred fifty-three", and thus it is an aban number.