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12466646000653 = 133871324771337
BaseRepresentation
bin1011010101101001111000…
…0000011010010000001101
31122010210120222212002111211
42311122132000122100031
53113223142334010103
642303033105214421
72424454052405305
oct265323600322015
948123528762454
1012466646000653
113a77090731989
121494152631411
136c57a4637670
14311563162605
1516944575c36d
hexb569e01a40d

12466646000653 has 8 divisors (see below), whose sum is σ = 13425966110648. Its totient is φ = 11507375510784.

The previous prime is 12466646000537. The next prime is 12466646000671. The reversal of 12466646000653 is 35600064666421.

It can be written as a sum of positive squares in 4 ways, for example, as 360122410404 + 12106523590249 = 600102^2 + 3479443^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12466646000653 - 29 = 12466646000141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12466646000597 and 12466646000606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12466646004653) 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 7 ways as a sum of consecutive naturals, for example, 11882400 + ... + 12888937.

It is an arithmetic number, because the mean of its divisors is an integer number (1678245763831).

Almost surely, 212466646000653 is an apocalyptic number.

12466646000653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12466646000653 is a deficient number, since it is larger than the sum of its proper divisors (959320109995).

12466646000653 is a wasteful number, since it uses less digits than its factorization.

12466646000653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24810063.

The product of its (nonzero) digits is 3732480, while the sum is 49.

The spelling of 12466646000653 in words is "twelve trillion, four hundred sixty-six billion, six hundred forty-six million, six hundred fifty-three", and thus it is an aban number.

Divisors: 1 13 38713 503269 24771337 322027381 958972769281 12466646000653