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166364410212 = 2232711134616617
BaseRepresentation
bin1001101011110000010…
…1110111000101100100
3120220102012222200111200
42122330011313011210
510211203242111322
6204232102402500
715006444104010
oct2327405670544
9526365880450
10166364410212
1164611410810
12282ab130430
13128c3995920
1480a2ca1540
1544da5a88ac
hex26bc177164

166364410212 has 144 divisors (see below), whose sum is σ = 564630847872. Its totient is φ = 39887562240.

The previous prime is 166364410189. The next prime is 166364410301. The reversal of 166364410212 is 212014463661.

166364410212 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 644 + 1 + 0 + 2 + 1 + 2 = 666.

166364410212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2272273 + ... + 2344344.

Almost surely, 2166364410212 is an apocalyptic number.

166364410212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166364410212 is an abundant number, since it is smaller than the sum of its proper divisors (398266437660).

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

166364410212 is a wasteful number, since it uses less digits than its factorization.

166364410212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616658 (or 4616653 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 166364410212 its reverse (212014463661), we get a palindrome (378378873873).

The spelling of 166364410212 in words is "one hundred sixty-six billion, three hundred sixty-four million, four hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 36036 4616617 9233234 13849851 18466468 27699702 32316319 41549553 50782787 55399404 60016021 64632638 83099106 96948957 101565574 120032042 129265276 152348361 166198212 180048063 193897914 203131148 240064084 290846871 304696722 355479509 360096126 387795828 420112147 457045083 540144189 581693742 609393444 660176231 710959018 720192252 840224294 914090166 1066438527 1080288378 1163387484 1260336441 1320352462 1421918036 1680448588 1828180332 1980528693 2132877054 2160576756 2520672882 2640704924 3199315581 3781009323 3961057386 4265754108 4621233617 5041345764 5941586079 6398631162 7562018646 7922114772 9242467234 11883172158 12797262324 13863700851 15124037292 18484934468 23766344316 27727401702 41591102553 55454803404 83182205106 166364410212