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13281441216 = 263172239357
BaseRepresentation
bin11000101111010001…
…01011010111000000
31021021121101010020020
430113220223113000
5204200022104331
610033523213440
7650061246651
oct142750532700
937247333206
1013281441216
1156a60333aa
1226a7b17280
1313387a2374
148ddcab528
1552aee6c96
hex317a2b5c0

13281441216 has 84 divisors (see below), whose sum is σ = 37329316248. Its totient is φ = 4166709248.

The previous prime is 13281441191. The next prime is 13281441269. The reversal of 13281441216 is 61214418231.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64191 + ... + 175166.

It is an arithmetic number, because the mean of its divisors is an integer number (444396622).

Almost surely, 213281441216 is an apocalyptic number.

13281441216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13281441216 is an abundant number, since it is smaller than the sum of its proper divisors (24047875032).

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

13281441216 is a wasteful number, since it uses less digits than its factorization.

13281441216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239406 (or 239379 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

Adding to 13281441216 its reverse (61214418231), we get a palindrome (74495859447).

The spelling of 13281441216 in words is "thirteen billion, two hundred eighty-one million, four hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 289 408 544 578 816 867 1088 1156 1632 1734 2312 3264 3468 4624 6936 9248 13872 18496 27744 55488 239357 478714 718071 957428 1436142 1914856 2872284 3829712 4069069 5744568 7659424 8138138 11489136 12207207 15318848 16276276 22978272 24414414 32552552 45956544 48828828 65105104 69174173 97657656 130210208 138348346 195315312 207522519 260420416 276696692 390630624 415045038 553393384 781261248 830090076 1106786768 1660180152 2213573536 3320360304 4427147072 6640720608 13281441216