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166365045 = 3257211193
BaseRepresentation
bin10011110101010…
…00011101110101
3102121001012221100
421322220131311
5320042140140
624301440313
74060036200
oct1172503565
9377035840
10166365045
11859aa580
1247870099
132860b972
1418148937
15e913530
hex9ea8775

166365045 has 144 divisors (see below), whose sum is σ = 386268480. Its totient is φ = 65499840.

The previous prime is 166365013. The next prime is 166365053. The reversal of 166365045 is 540563661.

166365045 is a `hidden beast` number, since 16 + 636 + 5 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 166365045 - 25 = 166365013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8756046 + ... + 8756064.

It is an arithmetic number, because the mean of its divisors is an integer number (2682420).

Almost surely, 2166365045 is an apocalyptic number.

166365045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166365045 is an abundant number, since it is smaller than the sum of its proper divisors (219903435).

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

166365045 is a wasteful number, since it uses less digits than its factorization.

166365045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 166365045 is about 12898.2574404452. The cubic root of 166365045 is about 549.9890300842.

The spelling of 166365045 in words is "one hundred sixty-six million, three hundred sixty-five thousand, forty-five".

Divisors: 1 3 5 7 9 11 15 19 21 33 35 45 49 55 57 63 77 95 99 105 133 147 165 171 209 231 245 285 315 361 385 399 441 495 539 627 665 693 735 855 931 1045 1083 1155 1197 1463 1617 1805 1881 1995 2205 2527 2695 2793 3135 3249 3465 3971 4389 4655 4851 5415 5985 6859 7315 7581 8085 8379 9405 10241 11913 12635 13167 13965 16245 17689 19855 20577 21945 22743 24255 27797 30723 34295 35739 37905 41895 48013 51205 53067 59565 61731 65835 75449 83391 88445 92169 102885 113715 138985 144039 153615 159201 178695 194579 226347 240065 250173 265335 308655 336091 377245 416955 432117 460845 528143 583737 679041 720195 796005 972895 1008273 1131735 1250865 1584429 1680455 1751211 2160585 2640715 2918685 3024819 3395205 3697001 4753287 5041365 7922145 8756055 11091003 15124095 18485005 23766435 33273009 55455015 166365045