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166006167281864 = 237213156720788627
BaseRepresentation
bin100101101111101101010010…
…101000011010000011001000
3210202210000221020001222101222
4211233231102220122003020
5133224321112311004424
61345022102550301212
746652356402625600
oct4557552250320310
9722700836058358
10166006167281864
1148992902727898
1216751135657808
137182411990020
142cdca5444dc00
15142d304987e5e
hex96fb52a1a0c8

166006167281864 has 96 divisors (see below), whose sum is σ = 390180927386880. Its totient is φ = 65630856445056.

The previous prime is 166006167281819. The next prime is 166006167281881. The reversal of 166006167281864 is 468182761600661.

It is a super-2 number, since 2×1660061672818642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166006167281797 and 166006167281806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2408882 + ... + 18379745.

It is an arithmetic number, because the mean of its divisors is an integer number (4064384660280).

Almost surely, 2166006167281864 is an apocalyptic number.

166006167281864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

166006167281864 is an abundant number, since it is smaller than the sum of its proper divisors (224174760105016).

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

166006167281864 is a wasteful number, since it uses less digits than its factorization.

166006167281864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20790227 (or 20790216 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 62.

The spelling of 166006167281864 in words is "one hundred sixty-six trillion, six billion, one hundred sixty-seven million, two hundred eighty-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 1567 2548 3134 5096 6268 10969 12536 20371 21938 40742 43876 76783 81484 87752 142597 153566 162968 285194 307132 570388 614264 998179 1140776 1996358 3992716 7985432 20788627 41577254 83154508 145520389 166309016 270252151 291040778 540504302 582081556 1018642723 1081008604 1164163112 1891765057 2037285446 2162017208 3783530114 4074570892 7567060228 8149141784 13242355399 15134120456 26484710798 32575778509 52969421596 65151557018 105938843192 130303114036 228030449563 260606228072 423485120617 456060899126 846970241234 912121798252 1596213146941 1693940482468 1824243596504 2964395844319 3192426293882 3387880964936 5928791688638 6384852587764 11857583377276 12769705175528 20750770910233 23715166754552 41501541820466 83003083640932 166006167281864