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820123749763 is a prime number
BaseRepresentation
bin10111110111100110010…
…11110100110110000011
32220101212211112010222221
423323303023310312003
5101414103134443023
61424432030111511
7113152300565263
oct13736313646603
92811784463887
10820123749763
112968a352684a
12112b4194b597
135c450191c06
142b9a0c617a3
15164eed5485d
hexbef32f4d83

820123749763 has 2 divisors, whose sum is σ = 820123749764. Its totient is φ = 820123749762.

The previous prime is 820123749737. The next prime is 820123749773. The reversal of 820123749763 is 367947321028.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-820123749763 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820123749763.

It is not a weakly prime, because it can be changed into another prime (820123749703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410061874881 + 410061874882.

It is an arithmetic number, because the mean of its divisors is an integer number (410061874882).

Almost surely, 2820123749763 is an apocalyptic number.

820123749763 is a deficient number, since it is larger than the sum of its proper divisors (1).

820123749763 is an equidigital number, since it uses as much as digits as its factorization.

820123749763 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 820123749763 in words is "eight hundred twenty billion, one hundred twenty-three million, seven hundred forty-nine thousand, seven hundred sixty-three".