| Base | Representation |
|---|---|
| bin | 101010001010110000… |
| … | …0111000111111100000 |
| 3 | 22122201221200200021000 |
| 4 | 1110111200320333200 |
| 5 | 2440424121204200 |
| 6 | 105333413232000 |
| 7 | 6354020661021 |
| oct | 1242540707740 |
| 9 | 278657620230 |
| 10 | 90555256800 |
| 11 | 3544a099808 |
| 12 | 15672932600 |
| 13 | 8701b833b8 |
| 14 | 4550958c48 |
| 15 | 254eeac300 |
| hex | 1515838fe0 |
90555256800 has 288 divisors, whose sum is σ = 335499464160. Its totient is φ = 23558860800.
The previous prime is 90555256789. The next prime is 90555256807. The reversal of 90555256800 is 865255509.
90555256800 is a `hidden beast` number, since 90 + 5 + 552 + 5 + 6 + 8 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×905552568002 (a number of 23 digits) contains 22 as substring.
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 (90555256807) 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 47 ways as a sum of consecutive naturals, for example, 834474 + ... + 936726.
It is an arithmetic number, because the mean of its divisors is an integer number (1164928695).
Almost surely, 290555256800 is an apocalyptic number.
90555256800 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 90555256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167749732080).
90555256800 is an abundant number, since it is smaller than the sum of its proper divisors (244944207360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90555256800 is a wasteful number, since it uses less digits than its factorization.
90555256800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 102323 (or 102304 counting only the distinct ones).
The product of its (nonzero) digits is 540000, while the sum is 45.
The spelling of 90555256800 in words is "ninety billion, five hundred fifty-five million, two hundred fifty-six thousand, eight hundred".
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