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327116507481 = 382323072
BaseRepresentation
bin1001100001010011010…
…10011100100101011001
31011021100022102100000000
410300221222130211121
520324413311214411
6410135242003213
732430152302431
oct4605152344531
91137308370000
10327116507481
11116802816765
12534927a6509
1324b019b27ca
1411b926312c1
1587980a9956
hex4c29a9c959

327116507481 has 81 divisors (see below), whose sum is σ = 514586096661. Its totient is φ = 207916567848.

The previous prime is 327116507479. The next prime is 327116507507. The reversal of 327116507481 is 184705611723.

The square root of 327116507481 is 571941.

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

327116507481 is a `hidden beast` number, since 3 + 2 + 7 + 1 + 165 + 0 + 7 + 481 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 327116507481 - 21 = 327116507479 is a prime.

It is a super-2 number, since 2×3271165074812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (327116507281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1065525930 + ... + 1065526236.

Almost surely, 2327116507481 is an apocalyptic number.

327116507481 is the 571941-st square number.

327116507481 is the 285971-st centered octagonal number.

It is an amenable number.

327116507481 is a deficient number, since it is larger than the sum of its proper divisors (187469589180).

327116507481 is an frugal number, since it uses more digits than its factorization.

327116507481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 327116507481 in words is "three hundred twenty-seven billion, one hundred sixteen million, five hundred seven thousand, four hundred eighty-one".

Divisors: 1 3 9 23 27 69 81 207 243 307 529 621 729 921 1587 1863 2187 2763 4761 5589 6561 7061 8289 14283 16767 21183 24867 42849 50301 63549 74601 94249 128547 150903 162403 190647 223803 282747 385641 487209 571941 671409 848241 1156923 1461627 1715823 2014227 2167727 2544723 3470769 4384881 5147469 6503181 7634169 13154643 15442407 19509543 22902507 39463929 46327221 49857721 58528629 68707521 118391787 149573163 175585887 206122563 355175361 448719489 526757661 618367689 1065526083 1346158467 1580272983 4038475401 4740818949 12115426203 14222456847 36346278609 109038835827 327116507481