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166441343356116 = 2232137349353273929
BaseRepresentation
bin100101110110000010100101…
…001001011000110011010100
3210211022122012101122001210200
4211312002211021120303110
5133303433332344343431
61345554033024020500
750025663435341133
oct4566024511306324
9724278171561720
10166441343356116
1149040417231434
1216801545161730
1371b4474b5008a
142d15b3827391a
1514397c45e1ee6
hex9760a5258cd4

166441343356116 has 144 divisors (see below), whose sum is σ = 426217603266000. Its totient is φ = 54761897558016.

The previous prime is 166441343356081. The next prime is 166441343356117. The reversal of 166441343356116 is 611653343144661.

166441343356116 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 4 + 1 + 34 + 33 + 561 + 16 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34544065856400 + 131897277499716 = 5877420^2 + 11484654^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166441343356117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607470640 + ... + 607744568.

It is an arithmetic number, because the mean of its divisors is an integer number (2959844467125).

Almost surely, 2166441343356116 is an apocalyptic number.

It is an amenable number.

166441343356116 is an abundant number, since it is smaller than the sum of its proper divisors (259776259909884).

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

166441343356116 is a wasteful number, since it uses less digits than its factorization.

166441343356116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274778 (or 274773 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 166441343356116 in words is "one hundred sixty-six trillion, four hundred forty-one billion, three hundred forty-three million, three hundred fifty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 349 353 411 548 698 706 822 1047 1059 1233 1396 1412 1644 2094 2118 2466 3141 3177 4188 4236 4932 6282 6354 12564 12708 47813 48361 95626 96722 123197 143439 145083 191252 193444 246394 273929 286878 290166 369591 430317 435249 492788 547858 573756 580332 739182 821787 860634 870498 1095716 1108773 1478364 1643574 1721268 1740996 2217546 2465361 3287148 4435092 4930722 9861444 16877989 33755978 37528273 50633967 67511956 75056546 95601221 96696937 101267934 112584819 150113092 151901901 191202442 193393874 202535868 225169638 286803663 290090811 303803802 337754457 382404884 386787748 450339276 573607326 580181622 607607604 675508914 860410989 870272433 1147214652 1160363244 1351017828 1720821978 1740544866 3441643956 3481089732 13097367277 13247480369 26194734554 26494960738 33747231013 39292101831 39742441107 52389469108 52989921476 67494462026 78584203662 79484882214 101241693039 117876305493 119227323321 134988924052 157168407324 158969764428 202483386078 235752610986 238454646642 303725079117 404966772156 471505221972 476909293284 607450158234 1214900316468 4623370648781 9246741297562 13870111946343 18493482595124 27740223892686 41610335839029 55480447785372 83220671678058 166441343356116