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12428080885458 = 2337231619882953
BaseRepresentation
bin1011010011011010001101…
…0110001010111011010010
31122000010001022210020221000
42310312203112022323102
53112110202201313313
642233214225042430
72421620300342160
oct264664326127322
948003038706830
1012428080885458
113a617a072a057
12148878b186416
136c1c69929084
1430d745388230
15168439c0b673
hexb4da358aed2

12428080885458 has 128 divisors (see below), whose sum is σ = 32956081459200. Its totient is φ = 3394392414336.

The previous prime is 12428080885457. The next prime is 12428080885459. The reversal of 12428080885458 is 85458808082421.

12428080885458 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 8 + 0 + 8 + 0 + 88 + 545 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12428080885457) and next prime (12428080885459).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 12428080885395 and 12428080885404.

It is not an unprimeable number, because it can be changed into a prime (12428080885457) by changing a digit.

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, 13634110 + ... + 14517062.

It is an arithmetic number, because the mean of its divisors is an integer number (257469386400).

Almost surely, 212428080885458 is an apocalyptic number.

12428080885458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12428080885458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16478040729600).

12428080885458 is an abundant number, since it is smaller than the sum of its proper divisors (20528000573742).

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

12428080885458 is a wasteful number, since it uses less digits than its factorization.

12428080885458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884613 (or 884607 counting only the distinct ones).

The product of its (nonzero) digits is 52428800, while the sum is 63.

The spelling of 12428080885458 in words is "twelve trillion, four hundred twenty-eight billion, eighty million, eight hundred eighty-five thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 1619 2898 3238 4347 4857 8694 9714 11333 14571 22666 29142 33999 37237 43713 67998 74474 87426 101997 111711 203994 223422 260659 305991 335133 521318 611982 670266 781977 882953 1005399 1563954 1765906 2010798 2345931 2648859 4691862 5297718 6180671 7037793 7946577 12361342 14075586 15893154 18542013 20307919 23839731 37084026 40615838 47679462 55626039 60923757 111252078 121847514 142155433 166878117 182771271 284310866 333756234 365542542 426466299 548313813 852932598 1096627626 1279398897 1429500907 2558797794 2859001814 3838196691 4288502721 7676393382 8577005442 10006506349 12865508163 20013012698 25731016326 30019519047 32878520861 38596524489 60039038094 65757041722 77193048978 90058557141 98635562583 180117114282 197271125166 230149646027 270175671423 295906687749 460299292054 540351342846 591813375498 690448938081 887720063247 1380897876162 1775440126494 2071346814243 4142693628486 6214040442729 12428080885458