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8286516434161 = 724112332
BaseRepresentation
bin111100010010101101011…
…0111100101010011110001
31002100011221120121022112001
41320211122313211103301
52041231241201343121
625342434553334001
71513452413345200
oct170453267452361
932304846538461
108286516434161
112705323552999
12b19b95707301
13481552101334
142090d8b3b237
15e5840a03991
hex7895ade54f1

8286516434161 has 9 divisors (see below), whose sum is σ = 9639440516811. Its totient is φ = 7102711100352.

The previous prime is 8286516434159. The next prime is 8286516434167. The reversal of 8286516434161 is 1614346156828.

The square root of 8286516434161 is 2878631.

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

It can be written as a sum of positive squares in only one way, i.e., 6528919280625 + 1757597153536 = 2555175^2 + 1325744^2 .

It is not a de Polignac number, because 8286516434161 - 21 = 8286516434159 is a prime.

It is a super-2 number, since 2×82865164341612 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8286516434167) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19944801 + ... + 20356033.

Almost surely, 28286516434161 is an apocalyptic number.

8286516434161 is the 2878631-st square number.

8286516434161 is the 1439316-th centered octagonal number.

It is an amenable number.

8286516434161 is a deficient number, since it is larger than the sum of its proper divisors (1352924082650).

8286516434161 is an frugal number, since it uses more digits than its factorization.

8286516434161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822480 (or 411240 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 55.

The spelling of 8286516434161 in words is "eight trillion, two hundred eighty-six billion, five hundred sixteen million, four hundred thirty-four thousand, one hundred sixty-one".

Divisors: 1 7 49 411233 2878631 20150417 169112580289 1183788062023 8286516434161