| Base | Representation |
|---|---|
| bin | 1100011011010011011100… |
| … | …0001010101100101111000 |
| 3 | 1210101012010212202212020220 |
| 4 | 3012310313001111211320 |
| 5 | 3242324230300103130 |
| 6 | 45020443251420040 |
| 7 | 2610064116220140 |
| oct | 306646701254570 |
| 9 | 53335125685226 |
| 10 | 13663214066040 |
| 11 | 439859a160780 |
| 12 | 16480328b4620 |
| 13 | 781587bc7b16 |
| 14 | 353435969920 |
| 15 | 18a628ed3410 |
| hex | c6d37055978 |
13663214066040 has 1024 divisors, whose sum is σ = 55205827706880. Its totient is φ = 2620442880000.
The previous prime is 13663214065981. The next prime is 13663214066053. The reversal of 13663214066040 is 4066041236631.
13663214066040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×136632140660403 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 13663214065983 and 13663214066001.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2417837215 + ... + 2417842865.
It is an arithmetic number, because the mean of its divisors is an integer number (53911941120).
Almost surely, 213663214066040 is an apocalyptic number.
13663214066040 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 13663214066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27602913853440).
13663214066040 is an abundant number, since it is smaller than the sum of its proper divisors (41542613640840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13663214066040 is a wasteful number, since it uses less digits than its factorization.
13663214066040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6104 (or 6100 counting only the distinct ones).
The product of its (nonzero) digits is 373248, while the sum is 42.
The spelling of 13663214066040 in words is "thirteen trillion, six hundred sixty-three billion, two hundred fourteen million, sixty-six thousand, forty".
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