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826410082961 is a prime number
BaseRepresentation
bin11000000011010011110…
…00010010001010010001
32221000002221100221222102
430001221320102022101
5102014441440123321
61431351512050145
7113464132542311
oct14015170221221
92830087327872
10826410082961
11299529a46a41
121141b7093955
135cc12681bb8
142bdd9ac7441
151676bb9bc0b
hexc069e12291

826410082961 has 2 divisors, whose sum is σ = 826410082962. Its totient is φ = 826410082960.

The previous prime is 826410082907. The next prime is 826410083011. The reversal of 826410082961 is 169280014628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 443081934736 + 383328148225 = 665644^2 + 619135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-826410082961 is a prime.

It is not a weakly prime, because it can be changed into another prime (826410085961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413205041480 + 413205041481.

It is an arithmetic number, because the mean of its divisors is an integer number (413205041481).

Almost surely, 2826410082961 is an apocalyptic number.

It is an amenable number.

826410082961 is a deficient number, since it is larger than the sum of its proper divisors (1).

826410082961 is an equidigital number, since it uses as much as digits as its factorization.

826410082961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 826410082961 in words is "eight hundred twenty-six billion, four hundred ten million, eighty-two thousand, nine hundred sixty-one".