Search a number
-
+
12847315716 = 223620992
BaseRepresentation
bin10111111011100001…
…00111101100000100
31020011100111021000000
423331300213230010
5202302403100331
65522454321300
7633240244644
oct137560475404
936140437000
1012847315716
1154a2a7a4a4
1225a6659230
131299873081
1489c382524
15502d420e6
hex2fdc27b04

12847315716 has 63 divisors (see below), whose sum is σ = 33724850551. Its totient is φ = 4280398344.

The previous prime is 12847315693. The next prime is 12847315717. The reversal of 12847315716 is 61751374821.

The square root of 12847315716 is 113346.

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

12847315716 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 73 + 1 + 571 + 6 = 666.

It is a super-2 number, since 2×128473157162 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12847315717) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6119635 + ... + 6121733.

Almost surely, 212847315716 is an apocalyptic number.

12847315716 is the 113346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12847315716

12847315716 is an abundant number, since it is smaller than the sum of its proper divisors (20877534835).

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

12847315716 is an frugal number, since it uses more digits than its factorization.

12847315716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 2104 counting only the distinct ones).

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

The spelling of 12847315716 in words is "twelve billion, eight hundred forty-seven million, three hundred fifteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2099 2916 4198 6297 8396 12594 18891 25188 37782 56673 75564 113346 170019 226692 340038 510057 680076 1020114 1530171 2040228 3060342 4405801 6120684 8811602 13217403 17623204 26434806 39652209 52869612 79304418 118956627 158608836 237913254 356869881 475826508 713739762 1070609643 1427479524 2141219286 3211828929 4282438572 6423657858 12847315716