| Base | Representation |
|---|---|
| bin | 1001010100110010000011… |
| … | …11101000100110100000000 |
| 3 | 2200121021201020200100211100 |
| 4 | 10222121001331010310000 |
| 5 | 10141424303240310030 |
| 6 | 111335555030414400 |
| 7 | 4214312651405310 |
| oct | 452310175046400 |
| 9 | 80537636610740 |
| 10 | 20505280400640 |
| 11 | 659627123a702 |
| 12 | 2372088b01400 |
| 13 | b598413b8219 |
| 14 | 50c664893440 |
| 15 | 2585c935c360 |
| hex | 12a641f44d00 |
20505280400640 has 864 divisors, whose sum is σ = 81580782995712. Its totient is φ = 4658135040000.
The previous prime is 20505280400629. The next prime is 20505280400651. The reversal of 20505280400640 is 4600408250502.
It is a happy number.
20505280400640 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 5 + 2 + 8 + 0 + 4 + 0 + 0 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (20505280400629) and next prime (20505280400651).
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 = 20505280400595 and 20505280400604.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15761167990 + ... + 15761169290.
Almost surely, 220505280400640 is an apocalyptic number.
20505280400640 is a gapful number since it is divisible by the number (20) 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 20505280400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40790391497856).
20505280400640 is an abundant number, since it is smaller than the sum of its proper divisors (61075502595072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20505280400640 is a wasteful number, since it uses less digits than its factorization.
20505280400640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2387 (or 2370 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 36.
The spelling of 20505280400640 in words is "twenty trillion, five hundred five billion, two hundred eighty million, four hundred thousand, six hundred forty".
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