| Base | Representation |
|---|---|
| bin | 100110010000000111001… |
| … | …101110000000100000000 |
| 3 | 100022021222111212000000000 |
| 4 | 212100013031300010000 |
| 5 | 321031424100433100 |
| 6 | 5331325300000000 |
| 7 | 360625114045320 |
| oct | 46200715600400 |
| 9 | 10267874760000 |
| 10 | 2628641030400 |
| 11 | 923889373440 |
| 12 | 365546690000 |
| 13 | 160b58b72a38 |
| 14 | 913268ab280 |
| 15 | 4859c4d6900 |
| hex | 26407370100 |
2628641030400 has 2160 divisors, whose sum is σ = 12212313028608. Its totient is φ = 544195584000.
The previous prime is 2628641030387. The next prime is 2628641030413. The reversal of 2628641030400 is 40301468262.
2628641030400 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 641 + 0 + 3 + 0 + 4 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2628641030387) and next prime (2628641030413).
It is a tau number, because it is divible by the number of its divisors (2160).
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 (13) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9699782265 + ... + 9699782535.
Almost surely, 22628641030400 is an apocalyptic number.
2628641030400 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 2628641030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106156514304).
2628641030400 is an abundant number, since it is smaller than the sum of its proper divisors (9583671998208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2628641030400 is an frugal number, since it uses more digits than its factorization.
2628641030400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 342 (or 299 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
Adding to 2628641030400 its reverse (40301468262), we get a palindrome (2668942498662).
The spelling of 2628641030400 in words is "two trillion, six hundred twenty-eight billion, six hundred forty-one million, thirty thousand, four hundred".
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