| Base | Representation |
|---|---|
| bin | 101011010001111111… |
| … | …000000101011100000 |
| 3 | 11102221202110011020000 |
| 4 | 223101333000223200 |
| 5 | 1230133443111320 |
| 6 | 33203233420000 |
| 7 | 3233430554112 |
| oct | 532177005340 |
| 9 | 142852404200 |
| 10 | 46472628960 |
| 11 | 18788650a7a |
| 12 | 900b70a600 |
| 13 | 44c803bc24 |
| 14 | 236c0893b2 |
| 15 | 131ed7cc90 |
| hex | ad1fc0ae0 |
46472628960 has 240 divisors, whose sum is σ = 172642654800. Its totient is φ = 11740391424.
The previous prime is 46472628907. The next prime is 46472629013. The reversal of 46472628960 is 6982627464.
46472628960 is a `hidden beast` number, since 4 + 6 + 4 + 7 + 2 + 628 + 9 + 6 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (46472628907) and next prime (46472629013).
It is a tau number, because it is divible by the number of its divisors (240).
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 = 46472628897 and 46472628906.
It is a congruent number.
It is an unprimeable number.
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 39 ways as a sum of consecutive naturals, for example, 151876 + ... + 340604.
It is an arithmetic number, because the mean of its divisors is an integer number (719344395).
Almost surely, 246472628960 is an apocalyptic number.
46472628960 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 46472628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86321327400).
46472628960 is an abundant number, since it is smaller than the sum of its proper divisors (126170025840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46472628960 is a wasteful number, since it uses less digits than its factorization.
46472628960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 188775 (or 188758 counting only the distinct ones).
The product of its (nonzero) digits is 6967296, while the sum is 54.
The spelling of 46472628960 in words is "forty-six billion, four hundred seventy-two million, six hundred twenty-eight thousand, nine hundred sixty".
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