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12746002370000 = 245419659101797
BaseRepresentation
bin1011100101111010100011…
…1100011000110111010000
31200010111122211011000201212
42321132220330120313100
53132312303101320000
643035233241515252
72453603551355564
oct271365074306720
950114584130655
1012746002370000
1140746050609a9
12151a3164a2b28
13715c346277b3
14320ca47196a4
15171845914c35
hexb97a8f18dd0

12746002370000 has 200 divisors, whose sum is σ = 32533134189600. Its totient is φ = 4822687296000.

The previous prime is 12746002369993. The next prime is 12746002370027. The reversal of 12746002370000 is 7320064721.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 125159102 + ... + 125260898.

It is an arithmetic number, because the mean of its divisors is an integer number (162665670948).

Almost surely, 212746002370000 is an apocalyptic number.

12746002370000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12746002370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16266567094800).

12746002370000 is an abundant number, since it is smaller than the sum of its proper divisors (19787131819600).

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

12746002370000 is a wasteful number, since it uses less digits than its factorization.

12746002370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102503 (or 102482 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 12746002370000 in words is "twelve trillion, seven hundred forty-six billion, two million, three hundred seventy thousand".