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9814248424189 = 112653124210553
BaseRepresentation
bin1000111011010000111011…
…0010101000001011111101
31021202020021211212111211101
42032310032302220023331
52241244040044033224
632512334204053101
72032025140115506
oct216641662501375
937666254774741
109814248424189
113144221418900
121126097b34191
13562630a585a1
1425d02550dbad
15120457824044
hex8ed0eca82fd

9814248424189 has 12 divisors (see below), whose sum is σ = 10804082408028. Its totient is φ = 8908380789440.

The previous prime is 9814248424171. The next prime is 9814248424219.

9814248424189 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4274485955289 + 5539762468900 = 2067483^2 + 2353670^2 .

It is not a de Polignac number, because 9814248424189 - 29 = 9814248423677 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9814248424189.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9814248424289) 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 11 ways as a sum of consecutive naturals, for example, 62026264 + ... + 62184289.

It is an arithmetic number, because the mean of its divisors is an integer number (900340200669).

Almost surely, 29814248424189 is an apocalyptic number.

It is an amenable number.

9814248424189 is a deficient number, since it is larger than the sum of its proper divisors (989833983839).

9814248424189 is a wasteful number, since it uses less digits than its factorization.

9814248424189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124211228 (or 124211217 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 64.

The spelling of 9814248424189 in words is "nine trillion, eight hundred fourteen billion, two hundred forty-eight million, four hundred twenty-four thousand, one hundred eighty-nine".

Divisors: 1 11 121 653 7183 79013 124210553 1366316083 15029476913 81109491109 892204402199 9814248424189