Search a number
-
+
27172555281 = 3223223892
BaseRepresentation
bin11001010011100111…
…000100101000010001
32121010200221211101100
4121103213010220101
5421122133232111
620252150055013
71651234623534
oct312347045021
977120854340
1027172555281
1110584220a63
12532404a469
132740678ca1
14145ab1ca1b
15a907bc756
hex6539c4a11

27172555281 has 27 divisors (see below), whose sum is σ = 41047112379. Its totient is φ = 17320173552.

The previous prime is 27172555273. The next prime is 27172555303. The reversal of 27172555281 is 18255527172.

The square root of 27172555281 is 164841.

It is a perfect power (a square), and thus also a powerful number.

27172555281 is a `hidden beast` number, since 2 + 7 + 1 + 72 + 55 + 528 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6176545281 + 20996010000 = 78591^2 + 144900^2 .

It is not a de Polignac number, because 27172555281 - 23 = 27172555273 is a prime.

It is a super-2 number, since 2×271725552812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27172455281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11372835 + ... + 11375223.

Almost surely, 227172555281 is an apocalyptic number.

27172555281 is the 164841-st square number.

27172555281 is the 82421-st centered octagonal number.

It is an amenable number.

27172555281 is a deficient number, since it is larger than the sum of its proper divisors (13874557098).

27172555281 is an frugal number, since it uses more digits than its factorization.

27172555281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 2415 counting only the distinct ones).

The product of its digits is 392000, while the sum is 45.

The spelling of 27172555281 in words is "twenty-seven billion, one hundred seventy-two million, five hundred fifty-five thousand, two hundred eighty-one".

Divisors: 1 3 9 23 69 207 529 1587 2389 4761 7167 21501 54947 164841 494523 1263781 3791343 5707321 11374029 17121963 51365889 131268383 393805149 1181415447 3019172809 9057518427 27172555281