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21433133133412 = 22711139755184849
BaseRepresentation
bin1001101111110010010100…
…10010010110111001100100
32210212222122220021212112221
410313321022102112321210
510302130024040232122
6113330125002522124
74341331006454350
oct467711222267144
983788586255487
1021433133133412
116913816990910
1224a1a74b06344
13bc619c40bca0
14541525052460
152727d1c106c7
hex137e4a496e64

21433133133412 has 96 divisors (see below), whose sum is σ = 50879548742400. Its totient is φ = 7628753387520.

The previous prime is 21433133133361. The next prime is 21433133133439.

21433133133412 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 27204037 + ... + 27980812.

It is an arithmetic number, because the mean of its divisors is an integer number (529995299400).

Almost surely, 221433133133412 is an apocalyptic number.

21433133133412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21433133133412 is an abundant number, since it is smaller than the sum of its proper divisors (29446415608988).

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

21433133133412 is a wasteful number, since it uses less digits than its factorization.

21433133133412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55184981 (or 55184979 counting only the distinct ones).

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 2143313 and 3133412, that added together give a palindrome (5276725).

The spelling of 21433133133412 in words is "twenty-one trillion, four hundred thirty-three billion, one hundred thirty-three million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 97 143 154 182 194 286 308 364 388 572 679 1001 1067 1261 1358 2002 2134 2522 2716 4004 4268 5044 7469 8827 13871 14938 17654 27742 29876 35308 55484 97097 194194 388388 55184849 110369698 220739396 386293943 607033339 717403037 772587886 1214066678 1434806074 1545175772 2428133356 2869612148 4249233373 5021821259 5352930353 7891433407 8498466746 10043642518 10705860706 15782866814 16996933492 20087285036 21411721412 31565733628 37470512471 55240033849 58882233883 69588094589 74941024942 110480067698 117764467766 139176189178 149882049884 220960135396 235528935532 278352378356 412175637181 487116662123 765469040479 824351274362 974233324246 1530938080958 1648702548724 1948466648492 3061876161916 5358283283353 10716566566706 21433133133412