| Base | Representation |
|---|---|
| bin | 10101000011001001100111… |
| … | …00111111000000000000000 |
| 3 | 20001220001201101122220200000 |
| 4 | 22201210303213320000000 |
| 5 | 22031334232012440000 |
| 6 | 242240142230400000 |
| 7 | 12515115031456521 |
| oct | 1241446347700000 |
| 9 | 201801641586600 |
| 10 | 46287728640000 |
| 11 | 1382657410a391 |
| 12 | 5236a56800000 |
| 13 | 1ca9bb63107a3 |
| 14 | b604a3752848 |
| 15 | 5540b3d90000 |
| hex | 2a19339f8000 |
46287728640000 has 1920 divisors, whose sum is σ = 177064765637760. Its totient is φ = 12076646400000.
The previous prime is 46287728639989. The next prime is 46287728640007. The reversal of 46287728640000 is 4682778264.
It is a happy number.
46287728640000 is a `hidden beast` number, since 4 + 628 + 7 + 7 + 2 + 8 + 6 + 4 + 0 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (46287728640007) 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 119 ways as a sum of consecutive naturals, for example, 353341439935 + ... + 353341440065.
It is an arithmetic number, because the mean of its divisors is an integer number (92221232103).
Almost surely, 246287728640000 is an apocalyptic number.
46287728640000 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 46287728640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88532382818880).
46287728640000 is an abundant number, since it is smaller than the sum of its proper divisors (130777036997760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46287728640000 is an frugal number, since it uses more digits than its factorization.
46287728640000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 267 (or 212 counting only the distinct ones).
The product of its (nonzero) digits is 7225344, while the sum is 54.
The spelling of 46287728640000 in words is "forty-six trillion, two hundred eighty-seven billion, seven hundred twenty-eight million, six hundred forty thousand".
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