| Base | Representation |
|---|---|
| bin | 1011101110001110011… |
| … | …1011110011000000000 |
| 3 | 201020211000200101111000 |
| 4 | 2323203213132120000 |
| 5 | 11244420120143210 |
| 6 | 232303244052000 |
| 7 | 20356364364600 |
| oct | 2734347363000 |
| 9 | 636730611430 |
| 10 | 201387271680 |
| 11 | 78453956a21 |
| 12 | 33044234000 |
| 13 | 15cb58622aa |
| 14 | 9a6643cc00 |
| 15 | 538a152ac0 |
| hex | 2ee39de600 |
201387271680 has 960 divisors, whose sum is σ = 842085478080. Its totient is φ = 45482508288.
The previous prime is 201387271661. The next prime is 201387271681. The reversal of 201387271680 is 86172783102.
201387271680 is a `hidden beast` number, since 201 + 387 + 2 + 7 + 1 + 68 + 0 = 666.
201387271680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (960).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (201387271681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 328527054 + ... + 328527666.
It is an arithmetic number, because the mean of its divisors is an integer number (877172373).
Almost surely, 2201387271680 is an apocalyptic number.
201387271680 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 201387271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421042739040).
201387271680 is an abundant number, since it is smaller than the sum of its proper divisors (640698206400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201387271680 is an equidigital number, since it uses as much as digits as its factorization.
201387271680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 756 (or 727 counting only the distinct ones).
The product of its (nonzero) digits is 225792, while the sum is 45.
The spelling of 201387271680 in words is "two hundred one billion, three hundred eighty-seven million, two hundred seventy-one thousand, six hundred eighty".
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