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5433644463345 = 3357109208125349
BaseRepresentation
bin100111100010001111001…
…1100101011010011110001
3201020110012000200022122000
41033010132130223103301
51203011100440311340
615320103134204213
71100365526611440
oct117043634532361
921213160608560
105433644463345
11180543971016a
127390b0653669
1330550cb44a87
1414adbddd8d57
159651cb89d30
hex4f11e72b4f1

5433644463345 has 128 divisors (see below), whose sum is σ = 11146861440000. Its totient is φ = 2459883479040.

The previous prime is 5433644463343. The next prime is 5433644463451.

5433644463345 is a `hidden beast` number, since 54 + 33 + 64 + 4 + 463 + 3 + 45 = 666.

5433644463345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5433644463345 - 21 = 5433644463343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5433644463291 and 5433644463300.

It is not an unprimeable number, because it can be changed into a prime (5433644463341) 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 127 ways as a sum of consecutive naturals, for example, 214340731 + ... + 214366079.

It is an arithmetic number, because the mean of its divisors is an integer number (87084855000).

Almost surely, 25433644463345 is an apocalyptic number.

It is an amenable number.

5433644463345 is an abundant number, since it is smaller than the sum of its proper divisors (5713216976655).

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

5433644463345 is a wasteful number, since it uses less digits than its factorization.

5433644463345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27560 (or 27554 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

The spelling of 5433644463345 in words is "five trillion, four hundred thirty-three billion, six hundred forty-four million, four hundred sixty-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 109 135 189 315 327 545 763 945 981 1635 2081 2289 2943 3815 4905 6243 6867 10405 11445 14567 14715 18729 20601 25349 31215 34335 43701 56187 72835 76047 93645 103005 126745 131103 177443 218505 226829 228141 280935 380235 393309 532329 655515 680487 684423 887215 1134145 1140705 1587803 1596987 1966545 2041461 2661645 2763041 3402435 3422115 4763409 4790961 6124383 7939015 7984935 8289123 10207305 13815205 14290227 19341287 23817045 23954805 24867369 30621915 41445615 42870681 52751269 58023861 71451135 74602107 96706435 124336845 158253807 174071583 214353405 263756345 290119305 369258883 373010535 474761421 522214749 791269035 870357915 1107776649 1424284263 1846294415 2373807105 2611073745 3323329947 5538883245 5749888321 7121421315 9969989841 16616649735 17249664963 28749441605 40249218247 49849949205 51748994889 86248324815 120747654741 155246984667 201246091235 258744974445 362242964223 603738273705 776234923335 1086728892669 1811214821115 5433644463345