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12713627454641 = 181289092429729
BaseRepresentation
bin1011100100000001111100…
…1111111000110010110001
31200000102002120000220221122
42321000133033320302301
53131300002112022031
643012320531032025
72451346353210341
oct271003717706261
950012076026848
1012713627454641
114061901288903
121513ba013b615
13712b7521a649
1431d4b2b00d21
15170a9d56c47b
hexb901f3f8cb1

12713627454641 has 8 divisors (see below), whose sum is σ = 12784315962600. Its totient is φ = 12642943864320.

The previous prime is 12713627454631. The next prime is 12713627454719. The reversal of 12713627454641 is 14645472631721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5618303127616 + 7095324327025 = 2370296^2 + 2663705^2 .

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 12713627454641 - 210 = 12713627453617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12713627454611) 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 7 ways as a sum of consecutive naturals, for example, 4017665 + ... + 6447393.

It is an arithmetic number, because the mean of its divisors is an integer number (1598039495325).

Almost surely, 212713627454641 is an apocalyptic number.

It is an amenable number.

12713627454641 is a deficient number, since it is larger than the sum of its proper divisors (70688507959).

12713627454641 is a wasteful number, since it uses less digits than its factorization.

12713627454641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458819.

The product of its digits is 6773760, while the sum is 53.

The spelling of 12713627454641 in words is "twelve trillion, seven hundred thirteen billion, six hundred twenty-seven million, four hundred fifty-four thousand, six hundred forty-one".

Divisors: 1 181 28909 2429729 5232529 439780949 70241035661 12713627454641