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12066838343748 = 2232335189953993
BaseRepresentation
bin1010111110011000011110…
…0111001111000001000100
31120201120121201012202122100
42233212013213033001010
53040200341103444443
641355232355432100
72353541334401316
oct257460747170104
946646551182570
1012066838343748
113932576732821
12142a7738b5630
13696b89b02406
142da07674b7b6
1515dd45ba93d3
hexaf9879cf044

12066838343748 has 18 divisors (see below), whose sum is σ = 30502285813454. Its totient is φ = 4022279447904.

The previous prime is 12066838343743. The next prime is 12066838343753. The reversal of 12066838343748 is 84734383866021.

12066838343748 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 6 + 83 + 83 + 437 + 48 = 666.

12066838343748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12066838343743) and next prime (12066838343753).

It can be written as a sum of positive squares in only one way, i.e., 6379099873344 + 5687738470404 = 2525688^2 + 2384898^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×120668383437482 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12066838343743) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167594976961 + ... + 167594977032.

Almost surely, 212066838343748 is an apocalyptic number.

12066838343748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12066838343748 is an abundant number, since it is smaller than the sum of its proper divisors (18435447469706).

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

12066838343748 is a wasteful number, since it uses less digits than its factorization.

12066838343748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335189954003 (or 335189953998 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 12066838343748 in words is "twelve trillion, sixty-six billion, eight hundred thirty-eight million, three hundred forty-three thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 335189953993 670379907986 1005569861979 1340759815972 2011139723958 3016709585937 4022279447916 6033419171874 12066838343748