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677912205055041 = 341119283809174907
BaseRepresentation
bin1001101000100011101011110…
…0001010111101010001000001
310021220021202220011020001010000
42122020322330022331101001
51202323403143443230131
610401444322341430213
7262535353256230665
oct23210727412752101
93256252804201100
10677912205055041
11187004a51689750
1264047b15a0b369
1323135b010969b8
14bd591a926a8a5
1553590bb166ce6
hex2688ebc2bd441

677912205055041 has 160 divisors (see below), whose sum is σ = 1168448686732800. Its totient is φ = 387374868529920.

The previous prime is 677912205054991. The next prime is 677912205055049. The reversal of 677912205055041 is 140550502219776.

677912205055041 is a `hidden beast` number, since 6 + 7 + 7 + 9 + 12 + 20 + 50 + 550 + 4 + 1 = 666.

It is not a de Polignac number, because 677912205055041 - 217 = 677912204923969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (677912205055049) 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 159 ways as a sum of consecutive naturals, for example, 3875756310 + ... + 3875931216.

It is an arithmetic number, because the mean of its divisors is an integer number (7302804292080).

Almost surely, 2677912205055041 is an apocalyptic number.

It is an amenable number.

677912205055041 is a deficient number, since it is larger than the sum of its proper divisors (490536481677759).

677912205055041 is a wasteful number, since it uses less digits than its factorization.

677912205055041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176041 (or 176032 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 677912205055041 in words is "six hundred seventy-seven trillion, nine hundred twelve billion, two hundred five million, fifty-five thousand, forty-one".

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 283 297 513 627 809 849 891 1539 1881 2427 2547 3113 5377 5643 7281 7641 8899 9339 15371 16131 16929 21843 22923 26697 28017 46113 48393 59147 65529 80091 84051 138339 145179 169081 174907 177441 228947 240273 252153 415017 435537 507243 524721 532323 686841 720819 1245051 1521729 1574163 1596969 1923977 2060523 2518417 3323233 4349993 4565187 4722489 4790907 5771931 6181569 7555251 9969699 13049979 13695561 14167467 17315793 18544707 22665753 29909097 36555563 39149937 47849923 49498681 51947379 67997259 89727291 109666689 117449811 141499763 143549769 148496043 155842137 203991777 269181873 329000067 352349433 424499289 430649307 445488129 544485491 940474939 987000201 1273497867 1291947921 1336464387 1556497393 1633456473 2688495497 2821424817 2961000603 3820493601 3875843763 4009393161 4669492179 4900369419 8065486491 8464274451 10345224329 11461480803 14008476537 14701108257 24196459473 25392823353 29573450467 31035672987 40044432929 42025429611 44103324771 72589378419 76178470059 88720351401 93107018961 120133298787 126076288833 217768135257 266161054203 279321056883 360399896361 440488762219 760844225651 798483162609 837963170649 1081199689083 1321466286657 2282532676953 2395449487827 3243599067249 3964398859971 6847598030859 8369286482161 11893196579913 20542794092577 25107859446483 35679589739739 61628382277731 75323578339449 225970735018347 677912205055041