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21868616017 is a prime number
BaseRepresentation
bin10100010111011110…
…001001100101010001
32002110001122210112101
4110113132021211101
5324241331203032
614014000200401
71402632112003
oct242736114521
962401583471
1021868616017
119302299986
1242a3909101
1320a68705a1
1410b6540373
1587ed29de7
hex517789951

21868616017 has 2 divisors, whose sum is σ = 21868616018. Its totient is φ = 21868616016.

The previous prime is 21868615997. The next prime is 21868616069. The reversal of 21868616017 is 71061686812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19112786001 + 2755830016 = 138249^2 + 52496^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21868616017 is a prime.

It is not a weakly prime, because it can be changed into another prime (21868646017) 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, 10934308008 + 10934308009.

It is an arithmetic number, because the mean of its divisors is an integer number (10934308009).

Almost surely, 221868616017 is an apocalyptic number.

It is an amenable number.

21868616017 is a deficient number, since it is larger than the sum of its proper divisors (1).

21868616017 is an equidigital number, since it uses as much as digits as its factorization.

21868616017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 46.

It can be divided in two parts, 21868 and 616017, that added together give a triangular number (637885 = T1129).

The spelling of 21868616017 in words is "twenty-one billion, eight hundred sixty-eight million, six hundred sixteen thousand, seventeen".