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12881903282352 = 243513254865133
BaseRepresentation
bin1011101101110100110101…
…0001001110100010110000
31200121111102222200200100000
42323131031101032202300
53142024114220013402
643221510434030000
72466454400146206
oct273351521164260
950544388620300
1012881903282352
1141172036328a5
121540723418300
137259b1bb3930
143276b779d076
1517514b83bc1c
hexbb74d44e8b0

12881903282352 has 120 divisors (see below), whose sum is σ = 40262574408784. Its totient is φ = 3963662532864.

The previous prime is 12881903282333. The next prime is 12881903282357. The reversal of 12881903282352 is 25328230918821.

12881903282352 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 1 + 9 + 0 + 3 + 282 + 352 = 666.

12881903282352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×128819032823523 (a number of 40 digits) contains 333 as substring.

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 (12881903282357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127382023 + ... + 127483110.

Almost surely, 212881903282352 is an apocalyptic number.

12881903282352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12881903282352 is an abundant number, since it is smaller than the sum of its proper divisors (27380671126432).

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

12881903282352 is a wasteful number, since it uses less digits than its factorization.

12881903282352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254865169 (or 254865151 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 12881903282352 in words is "twelve trillion, eight hundred eighty-one billion, nine hundred three million, two hundred eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 12636 16848 25272 50544 254865133 509730266 764595399 1019460532 1529190798 2038921064 2293786197 3058381596 3313246729 4077842128 4587572394 6116763192 6626493458 6881358591 9175144788 9939740187 12233526384 13252986916 13762717182 18350289576 19879480374 20644075773 26505973832 27525434364 29819220561 36700579152 39758960748 41288151546 53011947664 55050868728 59638441122 61932227319 79517921496 82576303092 89457661683 110101737456 119276882244 123864454638 159035842992 165152606184 178915323366 238553764488 247728909276 268372985049 330305212368 357830646732 477107528976 495457818552 536745970098 715661293464 805118955147 990915637104 1073491940196 1431322586928 1610237910294 2146983880392 3220475820588 4293967760784 6440951641176 12881903282352