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83845089661 is a prime number
BaseRepresentation
bin100111000010110001…
…1101000100101111101
322000102022022212102011
41032011203220211331
52333203320332121
6102303511131221
76025521334354
oct1160543504575
9260368285364
1083845089661
1132616404933
12142bb673b11
137ba29285b8
1440b56c699b
1522aad447e1
hex13858e897d

83845089661 has 2 divisors, whose sum is σ = 83845089662. Its totient is φ = 83845089660.

The previous prime is 83845089637. The next prime is 83845089673. The reversal of 83845089661 is 16698054838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67021443225 + 16823646436 = 258885^2 + 129706^2 .

It is a cyclic number.

It is not a de Polignac number, because 83845089661 - 27 = 83845089533 is a prime.

It is a super-3 number, since 3×838450896613 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 83845089596 and 83845089605.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83845089631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41922544830 + 41922544831.

It is an arithmetic number, because the mean of its divisors is an integer number (41922544831).

Almost surely, 283845089661 is an apocalyptic number.

It is an amenable number.

83845089661 is a deficient number, since it is larger than the sum of its proper divisors (1).

83845089661 is an equidigital number, since it uses as much as digits as its factorization.

83845089661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9953280, while the sum is 58.

The spelling of 83845089661 in words is "eighty-three billion, eight hundred forty-five million, eighty-nine thousand, six hundred sixty-one".