| Base | Representation |
|---|---|
| bin | 100111100000010010… |
| … | …111100101000000000 |
| 3 | 11001111011111221000000 |
| 4 | 213200102330220000 |
| 5 | 1143332422101320 |
| 6 | 31253024000000 |
| 7 | 3031103041620 |
| oct | 474022745000 |
| 9 | 131434457000 |
| 10 | 42417768960 |
| 11 | 16a977a7706 |
| 12 | 8279760000 |
| 13 | 3cccc4cc98 |
| 14 | 20a5734880 |
| 15 | 1183dbcc90 |
| hex | 9e04bca00 |
42417768960 has 1120 divisors, whose sum is σ = 185485842432. Its totient is φ = 9077391360.
The previous prime is 42417768959. The next prime is 42417768961. The reversal of 42417768960 is 6986771424.
42417768960 is a `hidden beast` number, since 424 + 1 + 77 + 68 + 96 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (42417768959) and next prime (42417768961).
It is a tau number, because it is divible by the number of its divisors (1120).
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 = 42417768897 and 42417768906.
It is not an unprimeable number, because it can be changed into a prime (42417768961) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 222082465 + ... + 222082655.
Almost surely, 242417768960 is an apocalyptic number.
42417768960 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 42417768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92742921216).
42417768960 is an abundant number, since it is smaller than the sum of its proper divisors (143068073472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42417768960 is an equidigital number, since it uses as much as digits as its factorization.
42417768960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 256 (or 225 counting only the distinct ones).
The product of its (nonzero) digits is 4064256, while the sum is 54.
The spelling of 42417768960 in words is "forty-two billion, four hundred seventeen million, seven hundred sixty-eight thousand, nine hundred sixty".
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