| Base | Representation |
|---|---|
| bin | 11000101000111101… |
| … | …11101110010010000 |
| 3 | 1021010220212122210000 |
| 4 | 30110132331302100 |
| 5 | 204043003013400 |
| 6 | 10024354010000 |
| 7 | 645546635550 |
| oct | 142436756220 |
| 9 | 37126778700 |
| 10 | 13228563600 |
| 11 | 56791a769a |
| 12 | 2692276900 |
| 13 | 132a84a235 |
| 14 | 8d6c65160 |
| 15 | 52654e600 |
| hex | 3147bdc90 |
13228563600 has 1200 divisors, whose sum is σ = 59476336128. Its totient is φ = 2747105280.
The previous prime is 13228563589. The next prime is 13228563611. The reversal of 13228563600 is 636582231.
It is a happy number.
13228563600 is a `hidden beast` number, since 1 + 32 + 2 + 8 + 563 + 60 + 0 = 666.
13228563600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (13228563589) and next prime (13228563611).
It is a tau number, because it is divible by the number of its divisors (1200).
It is a Harshad number since it is a multiple of its sum of digits (36).
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 239 ways as a sum of consecutive naturals, for example, 181213164 + ... + 181213236.
Almost surely, 213228563600 is an apocalyptic number.
13228563600 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 13228563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29738168064).
13228563600 is an abundant number, since it is smaller than the sum of its proper divisors (46247772528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13228563600 is a wasteful number, since it uses less digits than its factorization.
13228563600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 174 (or 154 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The spelling of 13228563600 in words is "thirteen billion, two hundred twenty-eight million, five hundred sixty-three thousand, six hundred".
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