Search a number
-
+
13218983048088 = 2333599277736791
BaseRepresentation
bin1100000001011100100011…
…0010011111001110011000
31201210201111122201222021000
43000113020302133032120
53213034434130014323
644040414511145000
72533016502656046
oct300271062371630
951721448658230
1013218983048088
114237159348994
121595b16815160
1374b710a8b10c
14339b3330b396
1517dcc9447e43
hexc05c8c9f398

13218983048088 has 128 divisors (see below), whose sum is σ = 36794943360000. Its totient is φ = 4397267946240.

The previous prime is 13218983048071. The next prime is 13218983048101. The reversal of 13218983048088 is 88084038981231.

13218983048088 is a `hidden beast` number, since 1 + 32 + 1 + 8 + 98 + 30 + 480 + 8 + 8 = 666.

It is a super-2 number, since 2×132189830480882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359280973 + ... + 359317763.

It is an arithmetic number, because the mean of its divisors is an integer number (287460495000).

Almost surely, 213218983048088 is an apocalyptic number.

13218983048088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13218983048088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18397471680000).

13218983048088 is an abundant number, since it is smaller than the sum of its proper divisors (23575960311912).

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

13218983048088 is a wasteful number, since it uses less digits than its factorization.

13218983048088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40182 (or 40172 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 13218983048088 in words is "thirteen trillion, two hundred eighteen billion, nine hundred eighty-three million, forty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 599 1198 1797 2396 2777 3594 4792 5391 5554 7188 8331 10782 11108 14376 16173 16662 21564 22216 24993 32346 33324 36791 43128 49986 64692 66648 73582 74979 99972 110373 129384 147164 149958 199944 220746 294328 299916 331119 441492 599832 662238 882984 993357 1324476 1663423 1986714 2648952 3326846 3973428 4990269 6653692 7946856 9980538 13307384 14970807 19961076 22037809 29941614 39922152 44075618 44912421 59883228 66113427 88151236 89824842 102168607 119766456 132226854 176302472 179649684 198340281 204337214 264453708 306505821 359299368 396680562 408674428 528907416 595020843 613011642 793361124 817348856 919517463 1190041686 1226023284 1586722248 1839034926 2380083372 2452046568 2758552389 3678069852 4760166744 5517104778 7356139704 11034209556 22068419112 61198995593 122397991186 183596986779 244795982372 367193973558 489591964744 550790960337 734387947116 1101581920674 1468775894232 1652372881011 2203163841348 3304745762022 4406327682696 6609491524044 13218983048088