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842611008017 is a prime number
BaseRepresentation
bin11000100001011111000…
…01111010001000010001
32222112221000021020010202
430100233201322020101
5102301131404224032
61443031250104545
7114606454252052
oct14205741721021
92875830236122
10842611008017
112a5392a467a9
1211737887b155
13615c4c5749c
142cad55dc729
1516db9130d62
hexc42f87a211

842611008017 has 2 divisors, whose sum is σ = 842611008018. Its totient is φ = 842611008016.

The previous prime is 842611008013. The next prime is 842611008023. The reversal of 842611008017 is 710800116248.

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., 707893380496 + 134717627521 = 841364^2 + 367039^2 .

It is a cyclic number.

It is not a de Polignac number, because 842611008017 - 22 = 842611008013 is a prime.

It is not a weakly prime, because it can be changed into another prime (842611008013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 421305504008 + 421305504009.

It is an arithmetic number, because the mean of its divisors is an integer number (421305504009).

Almost surely, 2842611008017 is an apocalyptic number.

It is an amenable number.

842611008017 is a deficient number, since it is larger than the sum of its proper divisors (1).

842611008017 is an equidigital number, since it uses as much as digits as its factorization.

842611008017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 38.

The spelling of 842611008017 in words is "eight hundred forty-two billion, six hundred eleven million, eight thousand, seventeen".