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32116827143241 = 321721111212
BaseRepresentation
bin1110100110101110010000…
…00100101011110001001001
311012201100010220102101201100
413103113020010223301021
513202200230222040431
6152150133335212013
76523235626256361
oct723271004536111
9135640126371640
1032116827143241
11a262740702795
123728558517009
1314bc7b0733a39
147d0669a219a1
153aa6744214e6
hex1d35c812bc49

32116827143241 has 27 divisors (see below), whose sum is σ = 49280819162133. Its totient is φ = 20151553328640.

The previous prime is 32116827143221. The next prime is 32116827143267. The reversal of 32116827143241 is 14234172861123.

The square root of 32116827143241 is 5667171.

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

32116827143241 is a `hidden beast` number, since 3 + 21 + 16 + 82 + 71 + 432 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3659894217225 + 28456932926016 = 1913085^2 + 5334504^2 .

It is not a de Polignac number, because 32116827143241 - 213 = 32116827135049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32116827143221) 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, 288970161 + ... + 289081281.

Almost surely, 232116827143241 is an apocalyptic number.

32116827143241 is the 5667171-st square number.

32116827143241 is the 2833586-th centered octagonal number.

It is an amenable number.

32116827143241 is a deficient number, since it is larger than the sum of its proper divisors (17163992018892).

32116827143241 is an frugal number, since it uses more digits than its factorization.

32116827143241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222282 (or 111141 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 32116827143241 in words is "thirty-two trillion, one hundred sixteen billion, eight hundred twenty-seven million, one hundred forty-three thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 111121 333363 1000089 1889057 5667171 17001513 32113969 96341907 289025721 12347876641 37043629923 111130889769 209913902897 629741708691 1889225126073 3568536349249 10705609047747 32116827143241