| Base | Representation |
|---|---|
| bin | 1101011010010001101… |
| … | …11001101111010010000 |
| 3 | 1122001100211021012120010 |
| 4 | 12231020313031322100 |
| 5 | 30022141141410440 |
| 6 | 551403050514520 |
| 7 | 45201440552565 |
| oct | 6551067157220 |
| 9 | 1561324235503 |
| 10 | 460783935120 |
| 11 | 168465578523 |
| 12 | 75377735a40 |
| 13 | 345b4615162 |
| 14 | 18432bdc86c |
| 15 | bebcd9d580 |
| hex | 6b48dcde90 |
460783935120 has 240 divisors, whose sum is σ = 1521274025088. Its totient is φ = 115352371200.
The previous prime is 460783935091. The next prime is 460783935127. The reversal of 460783935120 is 21539387064.
460783935120 is digitally balanced in base 4, 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 (240).
It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 460783935120.
It is not an unprimeable number, because it can be changed into a prime (460783935127) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27805077 + ... + 27821643.
It is a 1-persistent number, because it is pandigital, but 2⋅460783935120 = 921567870240 is not.
Almost surely, 2460783935120 is an apocalyptic number.
460783935120 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 460783935120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760637012544).
460783935120 is an abundant number, since it is smaller than the sum of its proper divisors (1060490089968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
460783935120 is a wasteful number, since it uses less digits than its factorization.
460783935120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17018 (or 16995 counting only the distinct ones).
The product of its (nonzero) digits is 1088640, while the sum is 48.
The spelling of 460783935120 in words is "four hundred sixty billion, seven hundred eighty-three million, nine hundred thirty-five thousand, one hundred twenty".
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