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811590618649 is a prime number
BaseRepresentation
bin10111100111101101001…
…00100000111000011001
32212120212010221011200211
423303312210200320121
5101244114144244044
61420501203331121
7112430654302066
oct13636644407031
92776763834624
10811590618649
11293214823078
12111360080aa1
135b6c03667c5
142b3d1859c6d
15161a0b49634
hexbcf6920e19

811590618649 has 2 divisors, whose sum is σ = 811590618650. Its totient is φ = 811590618648.

The previous prime is 811590618613. The next prime is 811590618667. The reversal of 811590618649 is 946816095118.

811590618649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 438996354624 + 372594264025 = 662568^2 + 610405^2 .

It is a cyclic number.

It is not a de Polignac number, because 811590618649 - 215 = 811590585881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 811590618593 and 811590618602.

It is not a weakly prime, because it can be changed into another prime (811590618679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 405795309324 + 405795309325.

It is an arithmetic number, because the mean of its divisors is an integer number (405795309325).

Almost surely, 2811590618649 is an apocalyptic number.

It is an amenable number.

811590618649 is a deficient number, since it is larger than the sum of its proper divisors (1).

811590618649 is an equidigital number, since it uses as much as digits as its factorization.

811590618649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3732480, while the sum is 58.

The spelling of 811590618649 in words is "eight hundred eleven billion, five hundred ninety million, six hundred eighteen thousand, six hundred forty-nine".