Search a number
-
+
327137210017 = 5321817282917
BaseRepresentation
bin1001100001010101110…
…01011010111010100001
31011021101202101010112121
410300222321122322201
520324434111210032
6410141301424241
732430523255612
oct4605271327241
91137352333477
10327137210017
111168134768a2
125349970b081
1324b06080927
1411b9529dc09
158799ce8a97
hex4c2ae5aea1

327137210017 has 8 divisors (see below), whose sum is σ = 333326065896. Its totient is φ = 320948963712.

The previous prime is 327137210009. The next prime is 327137210033. The reversal of 327137210017 is 710012731723.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 181700997696 + 145436212321 = 426264^2 + 381361^2 .

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 327137210017 - 23 = 327137210009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (327137210077) 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 in 7 ways as a sum of consecutive naturals, for example, 1014843 + ... + 1297759.

It is an arithmetic number, because the mean of its divisors is an integer number (41665758237).

Almost surely, 2327137210017 is an apocalyptic number.

It is an amenable number.

327137210017 is a deficient number, since it is larger than the sum of its proper divisors (6188855879).

327137210017 is a wasteful number, since it uses less digits than its factorization.

327137210017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304787.

The product of its (nonzero) digits is 12348, while the sum is 34.

The spelling of 327137210017 in words is "three hundred twenty-seven billion, one hundred thirty-seven million, two hundred ten thousand, seventeen".

Divisors: 1 53 21817 282917 1156301 14994601 6172400189 327137210017