| Base | Representation |
|---|---|
| bin | 101101000011100110… |
| … | …111011101100000000 |
| 3 | 11121212121110202111000 |
| 4 | 231003212323230000 |
| 5 | 1243040000412210 |
| 6 | 34120332052000 |
| 7 | 3331606014030 |
| oct | 550346735400 |
| 9 | 147777422430 |
| 10 | 48378919680 |
| 11 | 19576703453 |
| 12 | 9462004000 |
| 13 | 473cc65bc0 |
| 14 | 24ad30d8c0 |
| 15 | 13d23ceac0 |
| hex | b439bbb00 |
48378919680 has 576 divisors, whose sum is σ = 211309701120. Its totient is φ = 10206756864.
The previous prime is 48378919679. The next prime is 48378919681. The reversal of 48378919680 is 8691987384.
48378919680 is a `hidden beast` number, since 483 + 7 + 8 + 91 + 9 + 68 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (48378919679) and next prime (48378919681).
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (48378919681) 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 63 ways as a sum of consecutive naturals, for example, 3137269 + ... + 3152651.
It is an arithmetic number, because the mean of its divisors is an integer number (366857120).
Almost surely, 248378919680 is an apocalyptic number.
48378919680 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 48378919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105654850560).
48378919680 is an abundant number, since it is smaller than the sum of its proper divisors (162930781440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48378919680 is a wasteful number, since it uses less digits than its factorization.
48378919680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15433 (or 15413 counting only the distinct ones).
The product of its (nonzero) digits is 20901888, while the sum is 63.
The spelling of 48378919680 in words is "forty-eight billion, three hundred seventy-eight million, nine hundred nineteen thousand, six hundred eighty".
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