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27806432173 = 1331211319697
BaseRepresentation
bin11001111001011001…
…000111101110101101
32122202212201010000021
4121321121013232231
5423421421312143
620435112202141
72003032526242
oct317131075655
978685633007
1027806432173
111087a008063
125480399351
132811aa6380
1414bada35c9
15acb27cced
hex679647bad

27806432173 has 24 divisors (see below), whose sum is σ = 31217941944. Its totient is φ = 24618424320.

The previous prime is 27806432161. The next prime is 27806432179. The reversal of 27806432173 is 37123460872.

It can be written as a sum of positive squares in 4 ways, for example, as 2986950409 + 24819481764 = 54653^2 + 157542^2 .

It is not a de Polignac number, because 27806432173 - 29 = 27806431661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27806432179) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401861 + ... + 1421557.

It is an arithmetic number, because the mean of its divisors is an integer number (1300747581).

Almost surely, 227806432173 is an apocalyptic number.

It is an amenable number.

27806432173 is a deficient number, since it is larger than the sum of its proper divisors (3411509771).

27806432173 is a wasteful number, since it uses less digits than its factorization.

27806432173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19885 (or 19854 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 27806432173 in words is "twenty-seven billion, eight hundred six million, four hundred thirty-two thousand, one hundred seventy-three".

Divisors: 1 13 31 113 403 961 1469 3503 12493 19697 45539 108593 256061 610607 1411709 2225761 7937891 18928817 28934893 68998591 246074621 896981683 2138956321 27806432173