| Base | Representation |
|---|---|
| bin | 10100100101111000010010… |
| … | …111111000100000000000000 |
| 3 | 102212122211111210120020000000 |
| 4 | 110211320102333010000000 |
| 5 | 43332300032211043200 |
| 6 | 520340305440000000 |
| 7 | 25035014214320022 |
| oct | 2445702277040000 |
| 9 | 385584453506000 |
| 10 | 90563998924800 |
| 11 | 26946a81438045 |
| 12 | a1a7ab0000000 |
| 13 | 3b6c1c11cb87b |
| 14 | 185146c910012 |
| 15 | a70b9dd24300 |
| hex | 525e12fc4000 |
90563998924800 has 2880 divisors, whose sum is σ = 376620857222400. Its totient is φ = 21464686264320.
The previous prime is 90563998924799. The next prime is 90563998924807. The reversal of 90563998924800 is 842989936509.
90563998924800 is a `hidden beast` number, since 9 + 0 + 5 + 63 + 9 + 9 + 89 + 2 + 480 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (90563998924807) 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 191 ways as a sum of consecutive naturals, for example, 289341849444 + ... + 289341849756.
It is an arithmetic number, because the mean of its divisors is an integer number (130771130980).
Almost surely, 290563998924800 is an apocalyptic number.
90563998924800 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 90563998924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188310428611200).
90563998924800 is an abundant number, since it is smaller than the sum of its proper divisors (286056858297600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
90563998924800 is an equidigital number, since it uses as much as digits as its factorization.
90563998924800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 408 (or 359 counting only the distinct ones).
The product of its (nonzero) digits is 302330880, while the sum is 72.
The spelling of 90563998924800 in words is "ninety trillion, five hundred sixty-three billion, nine hundred ninety-eight million, nine hundred twenty-four thousand, eight hundred".
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