| Base | Representation |
|---|---|
| bin | 10000110100010011… |
| … | …01011110111110000 |
| 3 | 212022020001112020000 |
| 4 | 20122021223313300 |
| 5 | 121442320244300 |
| 6 | 4051523550000 |
| 7 | 436511344500 |
| oct | 103211536760 |
| 9 | 25266045200 |
| 10 | 9028681200 |
| 11 | 3913500900 |
| 12 | 18bb82b300 |
| 13 | b0b6b2c16 |
| 14 | 61915da00 |
| 15 | 37c994c00 |
| hex | 21a26bdf0 |
9028681200 has 1350 divisors, whose sum is σ = 42313260528. Its totient is φ = 1836172800.
The previous prime is 9028681177. The next prime is 9028681201. The reversal of 9028681200 is 21868209.
9028681200 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 (1350).
It is a super-2 number, since 2×90286812002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9028681201) by changing a digit.
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 269 ways as a sum of consecutive naturals, for example, 192099577 + ... + 192099623.
Almost surely, 29028681200 is an apocalyptic number.
9028681200 is a gapful number since it is divisible by the number (90) 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 9028681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21156630264).
9028681200 is an abundant number, since it is smaller than the sum of its proper divisors (33284579328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9028681200 is a wasteful number, since it uses less digits than its factorization.
9028681200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113 (or 75 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 9028681200 is about 95019.3727615585. The cubic root of 9028681200 is about 2082.2910837194.
The spelling of 9028681200 in words is "nine billion, twenty-eight million, six hundred eighty-one thousand, two hundred".
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