| Base | Representation |
|---|---|
| bin | 1101101000101111111… |
| … | …00110010110100000000 |
| 3 | 1122210102021121012020000 |
| 4 | 12310113330302310000 |
| 5 | 30134044112414000 |
| 6 | 555130030120000 |
| 7 | 45565120615545 |
| oct | 6642774626400 |
| 9 | 1583367535200 |
| 10 | 468553248000 |
| 11 | 170792103262 |
| 12 | 76985650000 |
| 13 | 35252118306 |
| 14 | 1896c9b6bcc |
| 15 | c2c4ecc000 |
| hex | 6d17f32d00 |
468553248000 has 720 divisors, whose sum is σ = 1786564699920. Its totient is φ = 121872384000.
The previous prime is 468553247983. The next prime is 468553248047. The reversal of 468553248000 is 842355864.
468553248000 is a `hidden beast` number, since 46 + 85 + 53 + 2 + 480 + 0 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 387341927424 + 81211320576 = 622368^2 + 284976^2 .
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×4685532480002 (a number of 24 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 an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106269796 + ... + 106274204.
It is an arithmetic number, because the mean of its divisors is an integer number (2481339861).
Almost surely, 2468553248000 is an apocalyptic number.
468553248000 is a gapful number since it is divisible by the number (40) 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 468553248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893282349960).
468553248000 is an abundant number, since it is smaller than the sum of its proper divisors (1318011451920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
468553248000 is an equidigital number, since it uses as much as digits as its factorization.
468553248000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4493 (or 4460 counting only the distinct ones).
The product of its (nonzero) digits is 921600, while the sum is 45.
The spelling of 468553248000 in words is "four hundred sixty-eight billion, five hundred fifty-three million, two hundred forty-eight thousand".
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