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12493630444689 = 343927372
BaseRepresentation
bin1011010111001110011001…
…1001111001010010010001
31122020101020120211212210000
42311303212121321102101
53114143423343212224
642323254455400213
72426430544401642
oct265634631712221
948211216755700
1012493630444689
113a875787500a9
121499423683069
136c81b502c804
143129a2cb56c9
15169ec476d0c9
hexb5ce6679491

12493630444689 has 15 divisors (see below), whose sum is σ = 18663372012747. Its totient is φ = 8329065755328.

The previous prime is 12493630444679. The next prime is 12493630444699. The reversal of 12493630444689 is 98644403639421.

The square root of 12493630444689 is 3534633.

It is a perfect power (a square), and thus also a powerful number.

12493630444689 is a `hidden beast` number, since 1 + 2 + 493 + 63 + 0 + 4 + 4 + 4 + 6 + 89 = 666.

It is an interprime number because it is at equal distance from previous prime (12493630444679) and next prime (12493630444699).

It can be written as a sum of positive squares in only one way, i.e., 2257521275025 + 10236109169664 = 1502505^2 + 3199392^2 .

It is not a de Polignac number, because 12493630444689 - 217 = 12493630313617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12493630444679) 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 14 ways as a sum of consecutive naturals, for example, 31615329 + ... + 32008065.

Almost surely, 212493630444689 is an apocalyptic number.

12493630444689 is the 3534633-rd square number.

12493630444689 is the 1767317-th centered octagonal number.

It is an amenable number.

12493630444689 is a deficient number, since it is larger than the sum of its proper divisors (6169741568058).

12493630444689 is an frugal number, since it uses more digits than its factorization.

12493630444689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785486 (or 392740 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 12493630444689 in words is "twelve trillion, four hundred ninety-three billion, six hundred thirty million, four hundred forty-four thousand, six hundred eighty-nine".

Divisors: 1 3 9 27 81 392737 1178211 3534633 10603899 31811697 154242351169 462727053507 1388181160521 4164543481563 12493630444689