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12725009032428 = 223271117270032447
BaseRepresentation
bin1011100100101100010110…
…1001001010010011101100
31200001111110202110222111200
42321023011221022103230
53131441304303014203
643021442145445500
72452231405060020
oct271130551122354
950044422428450
1012725009032428
114066711949740
121516237940890
13713c6a206364
1431dc7253c380
151710178819a3
hexb92c5a4a4ec

12725009032428 has 144 divisors (see below), whose sum is σ = 42462062383104. Its totient is φ = 3110773777920.

The previous prime is 12725009032423. The next prime is 12725009032469. The reversal of 12725009032428 is 82423090052721.

12725009032428 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 500 + 90 + 32 + 4 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (12725009032423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134969100 + ... + 135063347.

It is an arithmetic number, because the mean of its divisors is an integer number (294875433216).

Almost surely, 212725009032428 is an apocalyptic number.

12725009032428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12725009032428 is an abundant number, since it is smaller than the sum of its proper divisors (29737053350676).

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

12725009032428 is a wasteful number, since it uses less digits than its factorization.

12725009032428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270032492 (or 270032487 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12725009032428 in words is "twelve trillion, seven hundred twenty-five billion, nine million, thirty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3927 4284 5236 6732 7854 11781 15708 23562 47124 270032447 540064894 810097341 1080129788 1620194682 1890227129 2430292023 2970356917 3240389364 3780454258 4590551599 4860584046 5670681387 5940713834 7560908516 8911070751 9181103198 9721168092 11341362774 11881427668 13771654797 17012044161 17822141502 18362206396 20792498419 22682725548 26733212253 27543309594 32133861193 34024088322 35644283004 41314964391 41584996838 50496067589 53466424506 55086619188 62377495257 64267722386 68048176644 82629928782 83169993676 96401583579 100992135178 106932849012 124754990514 128535444772 151488202767 165259857564 187132485771 192803167158 201984270356 249509981028 289204750737 302976405534 353472473123 374264971542 385606334316 454464608301 578409501474 605952811068 706944946246 748529943084 908929216602 1060417419369 1156819002948 1413889892492 1817858433204 2120834838738 3181252258107 4241669677476 6362504516214 12725009032428