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168685427664 = 24341310012193
BaseRepresentation
bin1001110100011001101…
…1110101101111010000
3121010101222101120220000
42131012123311233100
510230431432141124
6205254254050000
715121116322515
oct2350633655720
9533358346800
10168685427664
11655a2587556
12288384a9900
1312ba37b9330
14824324130c
1545c422c6c9
hex27466f5bd0

168685427664 has 100 divisors (see below), whose sum is σ = 525780355716. Its totient is φ = 51903203328.

The previous prime is 168685427641. The next prime is 168685427671. The reversal of 168685427664 is 466724586861.

It is a happy number.

168685427664 is a `hidden beast` number, since 1 + 6 + 86 + 8 + 542 + 7 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18498176064 + 150187251600 = 136008^2 + 387540^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4989249 + ... + 5022944.

Almost surely, 2168685427664 is an apocalyptic number.

It is an amenable number.

168685427664 is an abundant number, since it is smaller than the sum of its proper divisors (357094928052).

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

168685427664 is a wasteful number, since it uses less digits than its factorization.

168685427664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012226 (or 10012211 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 168685427664 in words is "one hundred sixty-eight billion, six hundred eighty-five million, four hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 10012193 20024386 30036579 40048772 60073158 80097544 90109737 120146316 130158509 160195088 180219474 240292632 260317018 270329211 360438948 390475527 480585264 520634036 540658422 720877896 780951054 810987633 1041268072 1081316844 1171426581 1441755792 1561902108 1621975266 2082536144 2162633688 2342853162 3123804216 3243950532 3514279743 4325267376 4685706324 6247608432 6487901064 7028559486 9371412648 10542839229 12975802128 14057118972 18742825296 21085678458 28114237944 42171356916 56228475888 84342713832 168685427664