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13862349282132 = 223213411136393353
BaseRepresentation
bin1100100110111001010001…
…1001111001101101010100
31211002020010221210222020200
43021232110121321231110
53304110042404012012
645252135250300500
72630343636510231
oct311562431715524
954066127728220
1013862349282132
114464a97862a2a
12167a748887730
137972a2000830
1435cd26c5a788
151908d15853dc
hexc9b94679b54

13862349282132 has 144 divisors (see below), whose sum is σ = 38998896784848. Its totient is φ = 4124479242240.

The previous prime is 13862349282107. The next prime is 13862349282143. The reversal of 13862349282132 is 23128294326831.

13862349282132 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 2 + 349 + 282 + 13 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5367024755856 + 8495324526276 = 2316684^2 + 2914674^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1028433 + ... + 5364920.

It is an arithmetic number, because the mean of its divisors is an integer number (270825672117).

Almost surely, 213862349282132 is an apocalyptic number.

13862349282132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13862349282132 is an abundant number, since it is smaller than the sum of its proper divisors (25136547502716).

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

13862349282132 is a wasteful number, since it uses less digits than its factorization.

13862349282132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393530 (or 6393525 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 13862349282132 in words is "thirteen trillion, eight hundred sixty-two billion, three hundred forty-nine million, two hundred eighty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 113 117 123 156 164 226 234 246 339 369 452 468 492 533 678 738 1017 1066 1356 1469 1476 1599 2034 2132 2938 3198 4068 4407 4633 4797 5876 6396 8814 9266 9594 13221 13899 17628 18532 19188 26442 27798 41697 52884 55596 60229 83394 120458 166788 180687 240916 361374 542061 722748 1084122 2168244 6393353 12786706 19180059 25573412 38360118 57540177 76720236 83113589 115080354 166227178 230160708 249340767 262127473 332454356 498681534 524254946 722448889 748022301 786382419 997363068 1048509892 1444897778 1496044602 1572764838 2167346667 2359147257 2889795556 2992089204 3145529676 3407657149 4334693334 4718294514 6502040001 6815314298 8669386668 9391835557 9436589028 10222971447 13004080002 13630628596 18783671114 20445942894 26008160004 28175506671 29620404449 30668914341 37567342228 40891885788 56351013342 59240808898 61337828682 84526520013 88861213347 112702026684 118481617796 122675657364 169053040026 177722426694 266583640041 338106080052 355444853388 385065257837 533167280082 770130515674 1066334560164 1155195773511 1540261031348 2310391547022 3465587320533 4620783094044 6931174641066 13862349282132