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13449890378799 = 327313753935897
BaseRepresentation
bin1100001110111000101111…
…1100000011010000101111
31202121210111222121201212200
43003232023330003100233
53230330333414110144
644334443324432543
72555502551622000
oct303561374032057
952553458551780
1013449890378799
114316080532106
1216128190a8753
1376741c434654
14346d9a1411a7
15184ce0ebec69
hexc3b8bf0342f

13449890378799 has 96 divisors (see below), whose sum is σ = 22829591491200. Its totient is φ = 7626843721728.

The previous prime is 13449890378761. The next prime is 13449890378807. The reversal of 13449890378799 is 99787309894431.

13449890378799 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 98 + 90 + 378 + 79 + 9 = 666.

It is not a de Polignac number, because 13449890378799 - 215 = 13449890346031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13449890378599) 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 95 ways as a sum of consecutive naturals, for example, 2280799219 + ... + 2280805115.

It is an arithmetic number, because the mean of its divisors is an integer number (237808244700).

Almost surely, 213449890378799 is an apocalyptic number.

13449890378799 is a deficient number, since it is larger than the sum of its proper divisors (9379701112401).

13449890378799 is a wasteful number, since it uses less digits than its factorization.

13449890378799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 11437 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 81.

The spelling of 13449890378799 in words is "thirteen trillion, four hundred forty-nine billion, eight hundred ninety million, three hundred seventy-eight thousand, seven hundred ninety-nine".

Divisors: 1 3 7 9 21 49 63 137 147 343 411 441 959 1029 1233 2877 3087 5393 5897 6713 8631 16179 17691 20139 37751 41279 46991 48537 53073 60417 113253 123837 140973 264257 288953 339759 371511 422919 738841 792771 807889 866859 1849799 2022671 2216523 2378313 2423667 2600577 5171887 5549397 5655223 6068013 6649569 7271001 15515661 16648191 16965669 18204039 31802521 36203209 39586561 46546983 50897007 95407563 108609627 118759683 222617647 253422463 277105927 286222689 325828881 356279049 667852941 760267389 831317781 1558323529 2003558823 2280802167 2493953343 4356945377 4674970587 10908264703 13070836131 14024911761 30498617639 32724794109 39212508393 91495852917 98174382327 213490323473 274487558751 640470970419 1494432264311 1921412911257 4483296792933 13449890378799