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12845755386 = 23331371571321
BaseRepresentation
bin10111111011010101…
…01010101111111010
31020011020112222122000
423331222222233322
5202302003133021
65522401041430
7633221055612
oct137552525772
936136488560
1012845755386
1154a2104172
1225a6026276
131299447ab9
1489c097a42
15502b34b26
hex2fdaaabfa

12845755386 has 128 divisors (see below), whose sum is σ = 30479185920. Its totient is φ = 4003084800.

The previous prime is 12845755357. The next prime is 12845755393. The reversal of 12845755386 is 68355754821.

12845755386 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 5 + 7 + 553 + 86 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 9723606 + ... + 9724926.

It is an arithmetic number, because the mean of its divisors is an integer number (238118640).

Almost surely, 212845755386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12845755386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15239592960).

12845755386 is an abundant number, since it is smaller than the sum of its proper divisors (17633430534).

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

12845755386 is a wasteful number, since it uses less digits than its factorization.

12845755386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1551 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 12845755386 in words is "twelve billion, eight hundred forty-five million, seven hundred fifty-five thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 93 111 157 186 222 279 314 333 471 558 666 837 942 999 1147 1321 1413 1674 1998 2294 2642 2826 3441 3963 4239 4867 5809 6882 7926 8478 9734 10323 11618 11889 14601 17427 20646 23778 29202 30969 34854 35667 40951 43803 48877 52281 61938 71334 81902 87606 97754 104562 122853 131409 146631 156843 180079 207397 245706 262818 293262 313686 360158 368559 414794 439893 540237 622191 737118 879786 1080474 1105677 1244382 1319679 1515187 1620711 1866573 2211354 2639358 3030374 3241422 3733146 4545561 4862133 5599719 6429307 7673689 9091122 9724266 11199438 12858614 13636683 15347378 19287921 23021067 27273366 38575842 40910049 46042134 57863763 69063201 81820098 115727526 138126402 173591289 207189603 237884359 347182578 414379206 475768718 713653077 1427306154 2140959231 4281918462 6422877693 12845755386