Search a number
-
+
12667743425172 = 22311331928914659
BaseRepresentation
bin1011100001010111000001…
…0110001101001010010100
31122212000122211010201102210
42320111300112031022110
53130022014304101142
642535251521033420
72445133330330563
oct270256026151224
948760584121383
1012667743425172
1140443a5a093a0
121507115785870
1370b742115154
1431b19ccb1bda
1516e7b520949c
hexb857058d294

12667743425172 has 48 divisors (see below), whose sum is σ = 32254881523200. Its totient is φ = 3837553409760.

The previous prime is 12667743425107. The next prime is 12667743425177. The reversal of 12667743425172 is 27152434776621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12667743425177) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14019222 + ... + 14895437.

It is an arithmetic number, because the mean of its divisors is an integer number (671976698400).

Almost surely, 212667743425172 is an apocalyptic number.

12667743425172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12667743425172 is an abundant number, since it is smaller than the sum of its proper divisors (19587138098028).

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

12667743425172 is a wasteful number, since it uses less digits than its factorization.

12667743425172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28917996 (or 28917994 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 57.

The spelling of 12667743425172 in words is "twelve trillion, six hundred sixty-seven billion, seven hundred forty-three million, four hundred twenty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3319 6638 9957 13276 19914 36509 39828 73018 109527 146036 219054 438108 28914659 57829318 86743977 115658636 173487954 318061249 346975908 636122498 954183747 1272244996 1908367494 3816734988 95967753221 191935506442 287903259663 383871012884 575806519326 1055645285431 1151613038652 2111290570862 3166935856293 4222581141724 6333871712586 12667743425172