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27785705069 = 293673260857
BaseRepresentation
bin11001111000001010…
…000011011001101101
32122201102201001202202
4121320022003121231
5423401120030234
620433052031245
72002361411333
oct317012033155
978642631682
1027785705069
1110869340521
125475462525
13280a6ca005
1414b8329b53
15ac953677e
hex67828366d

27785705069 has 8 divisors (see below), whose sum is σ = 28751768760. Its totient is φ = 26820170496.

The previous prime is 27785705047. The next prime is 27785705071. The reversal of 27785705069 is 96050758772.

It can be written as a sum of positive squares in 4 ways, for example, as 175562500 + 27610142569 = 13250^2 + 166163^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27785705069 - 28 = 27785704813 is a prime.

It is a super-2 number, since 2×277857050692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27785705009) 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 in 7 ways as a sum of consecutive naturals, for example, 23912 + ... + 236945.

It is an arithmetic number, because the mean of its divisors is an integer number (3593971095).

Almost surely, 227785705069 is an apocalyptic number.

27785705069 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

27785705069 is a deficient number, since it is larger than the sum of its proper divisors (966063691).

27785705069 is a wasteful number, since it uses less digits than its factorization.

27785705069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264559.

The product of its (nonzero) digits is 7408800, while the sum is 56.

The spelling of 27785705069 in words is "twenty-seven billion, seven hundred eighty-five million, seven hundred five thousand, sixty-nine".

Divisors: 1 29 3673 106517 260857 7564853 958127761 27785705069