| Base | Representation |
|---|---|
| bin | 1011111010111100010100… |
| … | …1010010101011000000000 |
| 3 | 1201102001010000000111211000 |
| 4 | 2332233011022111120000 |
| 5 | 3204222123234300030 |
| 6 | 43513220001252000 |
| 7 | 2521652643404103 |
| oct | 276570512253000 |
| 9 | 51361100014730 |
| 10 | 13107253040640 |
| 11 | 41a38336aa660 |
| 12 | 1578334634000 |
| 13 | 741016039485 |
| 14 | 33457447073a |
| 15 | 17ae3a520860 |
| hex | bebc5295600 |
13107253040640 has 640 divisors, whose sum is σ = 50844489315840. Its totient is φ = 3174145228800.
The previous prime is 13107253040617. The next prime is 13107253040647. The reversal of 13107253040640 is 4604035270131.
13107253040640 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 7 + 2 + 5 + 3 + 0 + 4 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 13107253040595 and 13107253040604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13107253040647) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758030395 + ... + 758047685.
It is an arithmetic number, because the mean of its divisors is an integer number (79444514556).
Almost surely, 213107253040640 is an apocalyptic number.
13107253040640 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 13107253040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25422244657920).
13107253040640 is an abundant number, since it is smaller than the sum of its proper divisors (37737236275200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13107253040640 is a wasteful number, since it uses less digits than its factorization.
13107253040640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18331 (or 18309 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 36.
The spelling of 13107253040640 in words is "thirteen trillion, one hundred seven billion, two hundred fifty-three million, forty thousand, six hundred forty".
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