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104666181769 is a prime number
BaseRepresentation
bin110000101111010010…
…1110011000010001001
3101000011100212221021201
41201132211303002021
53203324020304034
6120025531304201
710363503602662
oct1413645630211
9330140787251
10104666181769
1140430370576
12183505ab061
139b4045c646
1450cca68369
152ac8c02014
hex185e973089

104666181769 has 2 divisors, whose sum is σ = 104666181770. Its totient is φ = 104666181768.

The previous prime is 104666181713. The next prime is 104666181817. The reversal of 104666181769 is 967181666401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91466929225 + 13199252544 = 302435^2 + 114888^2 .

It is a cyclic number.

It is not a de Polignac number, because 104666181769 - 215 = 104666149001 is a prime.

It is a super-3 number, since 3×1046661817693 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (104666181709) 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, 52333090884 + 52333090885.

It is an arithmetic number, because the mean of its divisors is an integer number (52333090885).

Almost surely, 2104666181769 is an apocalyptic number.

It is an amenable number.

104666181769 is a deficient number, since it is larger than the sum of its proper divisors (1).

104666181769 is an equidigital number, since it uses as much as digits as its factorization.

104666181769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 104666181769 in words is "one hundred four billion, six hundred sixty-six million, one hundred eighty-one thousand, seven hundred sixty-nine".