Search a number
-
+
13456681822512 = 243410383242147
BaseRepresentation
bin1100001111010010000010…
…1111010110100100110000
31202122110001021220211020000
43003310200233112210300
53230433241021310022
644341525252550000
72556133056136305
oct303644057264460
952573037824200
1013456681822512
114318a4608a305
121613bb3622300
13767c624788b6
143474420cd0ac
1518508c33e6ac
hexc3d20bd6930

13456681822512 has 50 divisors (see below), whose sum is σ = 38947541297148. Its totient is φ = 4485560607072.

The previous prime is 13456681822511. The next prime is 13456681822543. The reversal of 13456681822512 is 21522818665431.

13456681822512 is a `hidden beast` number, since 1 + 3 + 4 + 56 + 68 + 18 + 2 + 2 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13456681822511) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5191619778 + ... + 5191622369.

Almost surely, 213456681822512 is an apocalyptic number.

13456681822512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13456681822512 is an abundant number, since it is smaller than the sum of its proper divisors (25490859474636).

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

13456681822512 is a wasteful number, since it uses less digits than its factorization.

13456681822512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10383242167 (or 10383242152 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 13456681822512 in words is "thirteen trillion, four hundred fifty-six billion, six hundred eighty-one million, eight hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10383242147 20766484294 31149726441 41532968588 62299452882 83065937176 93449179323 124598905764 166131874352 186898358646 249197811528 280347537969 373796717292 498395623056 560695075938 747593434584 841042613907 1121390151876 1495186869168 1682085227814 2242780303752 3364170455628 4485560607504 6728340911256 13456681822512