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83544092943444 = 22337831331422403
BaseRepresentation
bin10010111111101110011111…
…111110111010010001010100
3101221210201220110222121201000
4102333232133332322101110
541422241300243142234
6453403343152103300
723411601335103450
oct2277563776722124
9357721813877630
1083544092943444
112468a93a527341
1294534a3834b30
133780235826763
14168b7acaa7660
1599d290c7b899
hex4bfb9ffba454

83544092943444 has 96 divisors (see below), whose sum is σ = 250520439536640. Its totient is φ = 23582153584224.

The previous prime is 83544092943371. The next prime is 83544092943457. The reversal of 83544092943444 is 44434929044538.

83544092943444 is a `hidden beast` number, since 8 + 3 + 544 + 0 + 9 + 2 + 9 + 43 + 4 + 44 = 666.

It is a super-2 number, since 2×835440929434442 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665648454 + ... + 665773949.

It is an arithmetic number, because the mean of its divisors is an integer number (2609587911840).

Almost surely, 283544092943444 is an apocalyptic number.

83544092943444 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

83544092943444 is an abundant number, since it is smaller than the sum of its proper divisors (166976346593196).

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

83544092943444 is a wasteful number, since it uses less digits than its factorization.

83544092943444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331422506 (or 1331422498 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 83544092943444 in words is "eighty-three trillion, five hundred forty-four billion, ninety-two million, nine hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 378 498 581 747 756 996 1162 1494 1743 2241 2324 2988 3486 4482 5229 6972 8964 10458 15687 20916 31374 62748 1331422403 2662844806 3994267209 5325689612 7988534418 9319956821 11982801627 15977068836 18639913642 23965603254 27959870463 35948404881 37279827284 47931206508 55919740926 71896809762 83879611389 110508059449 111839481852 143793619524 167759222778 221016118898 251638834167 331524178347 335518445556 442032237796 503277668334 663048356694 773556416143 994572535041 1006555336668 1326096713388 1547112832286 1989145070082 2320669248429 2983717605123 3094225664572 3978290140164 4641338496858 5967435210246 6962007745287 9282676993716 11934870420492 13924015490574 20886023235861 27848030981148 41772046471722 83544092943444