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17131144996 = 227293492
BaseRepresentation
bin11111111010001100…
…01000011100100100
31122012220021100000201
433331012020130210
5240041033114441
611511523520244
71144345221100
oct177506103444
948186240021
1017131144996
1172a10a2879
1233a1229084
1318002200b4
14b8729a900
156a3e7ec31
hex3fd188724

17131144996 has 27 divisors (see below), whose sum is σ = 34877847249. Its totient is φ = 7341133968.

The previous prime is 17131144981. The next prime is 17131145027. The reversal of 17131144996 is 69944113171.

The square root of 17131144996 is 130886.

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

17131144996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14838650596 + 2292494400 = 121814^2 + 47880^2 .

It is a super-2 number, since 2×171311449962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1827730 + ... + 1837078.

Almost surely, 217131144996 is an apocalyptic number.

17131144996 is the 130886-th square number.

It is an amenable number.

17131144996 is an abundant number, since it is smaller than the sum of its proper divisors (17746702253).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17131144996 is an frugal number, since it uses more digits than its factorization.

17131144996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18716 (or 9358 counting only the distinct ones).

The product of its digits is 163296, while the sum is 46.

The spelling of 17131144996 in words is "seventeen billion, one hundred thirty-one million, one hundred forty-four thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 9349 18698 37396 65443 130886 261772 458101 916202 1832404 87403801 174807602 349615204 611826607 1223653214 2447306428 4282786249 8565572498 17131144996