Search a number
-
+
12289043538 = 232172292532
BaseRepresentation
bin10110111000111101…
…11110110001010010
31011201110000002112200
423130132332301102
5200131443343123
65351232504030
7613351101162
oct133436766122
934643002480
1012289043538
115236932332
12246b6ab016
13120acc75c5
1484817c5a2
154bdd18143
hex2dc7bec52

12289043538 has 162 divisors, whose sum is σ = 29856746829. Its totient is φ = 3652207104.

The previous prime is 12289043537. The next prime is 12289043539. The reversal of 12289043538 is 83534098221.

12289043538 is a `hidden beast` number, since 1 + 2 + 28 + 90 + 4 + 3 + 538 = 666.

It is an interprime number because it is at equal distance from previous prime (12289043537) and next prime (12289043539).

It can be written as a sum of positive squares in 14 ways, for example, as 3342342969 + 8946700569 = 57813^2 + 94587^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78387.

It is a junction number, because it is equal to n+sod(n) for n = 12289043493 and 12289043502.

It is not an unprimeable number, because it can be changed into a prime (12289043537) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 231868720 + ... + 231868772.

Almost surely, 212289043538 is an apocalyptic number.

12289043538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12289043538

12289043538 is an abundant number, since it is smaller than the sum of its proper divisors (17567703291).

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

12289043538 is a wasteful number, since it uses less digits than its factorization.

12289043538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12289043538 in words is "twelve billion, two hundred eighty-nine million, forty-three thousand, five hundred thirty-eight".