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166676010012 = 223323238928087
BaseRepresentation
bin1001101100111010101…
…0100001010000011100
3120221012221022121002000
42123032222201100130
510212323024310022
6204323033202300
715020246465151
oct2331652412034
9527187277060
10166676010012
1164761298306
1228377560390
13129433c54c5
1480d2414228
154507b096ac
hex26ceaa141c

166676010012 has 96 divisors (see below), whose sum is σ = 451115750400. Its totient is φ = 53118939456.

The previous prime is 166676009993. The next prime is 166676010019. The reversal of 166676010012 is 210010676661.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166676010019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5920233 + ... + 5948319.

It is an arithmetic number, because the mean of its divisors is an integer number (4699122400).

Almost surely, 2166676010012 is an apocalyptic number.

166676010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166676010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225557875200).

166676010012 is an abundant number, since it is smaller than the sum of its proper divisors (284439740388).

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

166676010012 is a wasteful number, since it uses less digits than its factorization.

166676010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30512 (or 30504 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 166676010012 its reverse (210010676661), we get a palindrome (376686686673).

The spelling of 166676010012 in words is "one hundred sixty-six billion, six hundred seventy-six million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2389 2484 4778 7167 9556 14334 21501 28087 28668 43002 54947 56174 64503 84261 86004 109894 112348 129006 164841 168522 219788 252783 258012 329682 337044 494523 505566 646001 659364 758349 989046 1011132 1292002 1483569 1516698 1938003 1978092 2584004 2967138 3033396 3876006 5814009 5934276 7752012 11628018 17442027 23256036 34884054 67099843 69768108 134199686 201299529 268399372 402599058 603898587 805198116 1207797174 1543296389 1811695761 2415594348 3086592778 3623391522 4629889167 6173185556 7246783044 9259778334 13889667501 18519556668 27779335002 41669002503 55558670004 83338005006 166676010012