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18130552717968 = 2432403573119821
BaseRepresentation
bin1000001111101010110010…
…01001111000001010010000
32101012021010101120212211100
410013311121021320022100
54334022332443433333
6102321021054544400
73550613666222535
oct407653111701220
971167111525740
1018130552717968
11586014038a599
1220499a5508100
13a1691c2a6852
14469748432d8c
1521693d4ea213
hex107d59278290

18130552717968 has 60 divisors (see below), whose sum is σ = 50741639839228. Its totient is φ = 6043365884160.

The previous prime is 18130552717961. The next prime is 18130552717973. The reversal of 18130552717968 is 86971725503181.

It is a happy number.

18130552717968 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 0 + 5 + 527 + 17 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 535279530384 + 17595273187584 = 731628^2 + 4194672^2 .

It is not an unprimeable number, because it can be changed into a prime (18130552717961) 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 11 ways as a sum of consecutive naturals, for example, 4251498 + ... + 7371318.

Almost surely, 218130552717968 is an apocalyptic number.

18130552717968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18130552717968 is an abundant number, since it is smaller than the sum of its proper divisors (32611087121260).

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

18130552717968 is a wasteful number, since it uses less digits than its factorization.

18130552717968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160192 (or 3160183 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 18130552717968 in words is "eighteen trillion, one hundred thirty billion, five hundred fifty-two million, seven hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 40357 80714 121071 161428 242142 322856 363213 484284 645712 726426 968568 1452852 1937136 2905704 3119821 5811408 6239642 9359463 12479284 18718926 24958568 28078389 37437852 49917136 56156778 74875704 112313556 149751408 224627112 449254224 125906616097 251813232194 377719848291 503626464388 755439696582 1007252928776 1133159544873 1510879393164 2014505857552 2266319089746 3021758786328 4532638179492 6043517572656 9065276358984 18130552717968