Search a number
-
+
12012651516264 = 233771503878073
BaseRepresentation
bin1010111011001110100111…
…0100111001000101101000
31120112101202100010201102220
42232303221310321011220
53033303402242010024
641314311431554040
72346612463066410
oct256635164710550
946471670121386
1012012651516264
11391159a680273
12142017082b920
13691a32819599
142d75b5d53640
1515c723987e79
hexaece9d39168

12012651516264 has 32 divisors (see below), whose sum is σ = 34321861475520. Its totient is φ = 3432186147456.

The previous prime is 12012651516191. The next prime is 12012651516269. The reversal of 12012651516264 is 46261515621021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12012651516269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35751938869 + ... + 35751939204.

It is an arithmetic number, because the mean of its divisors is an integer number (1072558171110).

Almost surely, 212012651516264 is an apocalyptic number.

12012651516264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12012651516264 is an abundant number, since it is smaller than the sum of its proper divisors (22309209959256).

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

12012651516264 is a wasteful number, since it uses less digits than its factorization.

12012651516264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71503878089 (or 71503878085 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 12012651516264 in words is "twelve trillion, twelve billion, six hundred fifty-one million, five hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 71503878073 143007756146 214511634219 286015512292 429023268438 500527146511 572031024584 858046536876 1001054293022 1501581439533 1716093073752 2002108586044 3003162879066 4004217172088 6006325758132 12012651516264