| Base | Representation |
|---|---|
| bin | 1101100000101100111… |
| … | …01110000110110000000 |
| 3 | 1122101021012222121020000 |
| 4 | 12300112131300312000 |
| 5 | 30101222220301320 |
| 6 | 553133232120000 |
| 7 | 45353064346164 |
| oct | 6602635606600 |
| 9 | 1571235877200 |
| 10 | 464233368960 |
| 11 | 1699756a8199 |
| 12 | 75b7a996000 |
| 13 | 34a1415877a |
| 14 | 1867cd96ca4 |
| 15 | c120b1cc90 |
| hex | 6c16770d80 |
464233368960 has 640 divisors, whose sum is σ = 1751157999360. Its totient is φ = 116961546240.
The previous prime is 464233368959. The next prime is 464233368967. The reversal of 464233368960 is 69863332464.
464233368960 is a `hidden beast` number, since 46 + 4 + 233 + 368 + 9 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 464233368897 and 464233368906.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (464233368967) 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 79 ways as a sum of consecutive naturals, for example, 98960215 + ... + 98964905.
It is an arithmetic number, because the mean of its divisors is an integer number (2736184374).
Almost surely, 2464233368960 is an apocalyptic number.
464233368960 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 464233368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875578999680).
464233368960 is an abundant number, since it is smaller than the sum of its proper divisors (1286924630400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
464233368960 is a wasteful number, since it uses less digits than its factorization.
464233368960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4828 (or 4807 counting only the distinct ones).
The product of its (nonzero) digits is 13436928, while the sum is 54.
The spelling of 464233368960 in words is "four hundred sixty-four billion, two hundred thirty-three million, three hundred sixty-eight thousand, nine hundred sixty".
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