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2048894346114 = 233711735167033
BaseRepresentation
bin11101110100001011100…
…111101010001110000010
321020212112222011222121000
4131310023213222032002
5232032113423033424
64205125444312430
7301012340406060
oct35641347521602
97225488158530
102048894346114
1171aa274977a0
1229110a6a2716
1311b296223b15
147124a40d030
153846a7713c9
hex1dd0b9ea382

2048894346114 has 128 divisors (see below), whose sum is σ = 5677447311360. Its totient is φ = 532100016000.

The previous prime is 2048894346113. The next prime is 2048894346167. The reversal of 2048894346114 is 4116434988402.

2048894346114 is a `hidden beast` number, since 2 + 0 + 4 + 88 + 94 + 3 + 461 + 14 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2048894346113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30531942 + ... + 30598974.

It is an arithmetic number, because the mean of its divisors is an integer number (44355057120).

Almost surely, 22048894346114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2048894346114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838723655680).

2048894346114 is an abundant number, since it is smaller than the sum of its proper divisors (3628552965246).

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

2048894346114 is a wasteful number, since it uses less digits than its factorization.

2048894346114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74413 (or 74407 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2048894346114 in words is "two trillion, forty-eight billion, eight hundred ninety-four million, three hundred forty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 7351 14702 22053 44106 51457 66159 67033 80861 102914 132318 134066 154371 161722 198477 201099 242583 308742 396954 402198 463113 469231 485166 566027 603297 727749 737363 926226 938462 1132054 1206594 1389339 1407693 1455498 1474726 1698081 1809891 2183247 2212089 2778678 2815386 3396162 3619782 4223079 4366494 4424178 5094243 5161541 6636267 8446158 10188486 10323082 12669237 13272534 15282729 15484623 19908801 25338474 30565458 30969246 39817602 46453869 92907738 139361607 278723214 492759583 985519166 1478278749 2956557498 3449317081 4434836247 5420355413 6898634162 8869672494 10347951243 10840710826 13304508741 16261066239 20695902486 26609017482 31043853729 32522132478 37942487891 48783198717 62087707458 75884975782 93131561187 97566397434 113827463673 146349596151 186263122374 227654927346 292699192302 341482391019 682964782038 1024447173057 2048894346114