Base | Representation |
---|---|
bin | 1000101000001010010… |
… | …1011001001000000000 |
3 | 112011120200120100022210 |
4 | 2022002211121020000 |
5 | 4412023222302014 |
6 | 152031411102120 |
7 | 13465010622000 |
oct | 2120245311000 |
9 | 464520510283 |
10 | 148219728384 |
11 | 579501997a2 |
12 | 248865a1940 |
13 | 10c917a8cc0 |
14 | 7261172000 |
15 | 3cc7671859 |
hex | 2282959200 |
148219728384 has 1280 divisors, whose sum is σ = 560964096000. Its totient is φ = 34334834688.
The previous prime is 148219728379. The next prime is 148219728413. The reversal of 148219728384 is 483827912841.
It is a Harshad number since it is a multiple of its sum of digits (57).
Its product of digits (6193152) is a multiple of the sum of its prime divisors (128).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2212234719 + ... + 2212234785.
It is an arithmetic number, because the mean of its divisors is an integer number (438253200).
Almost surely, 2148219728384 is an apocalyptic number.
148219728384 is a gapful number since it is divisible by the number (14) 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 148219728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280482048000).
148219728384 is an abundant number, since it is smaller than the sum of its proper divisors (412744367616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148219728384 is a wasteful number, since it uses less digits than its factorization.
148219728384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 158 (or 128 counting only the distinct ones).
The product of its digits is 6193152, while the sum is 57.
The spelling of 148219728384 in words is "one hundred forty-eight billion, two hundred nineteen million, seven hundred twenty-eight thousand, three hundred eighty-four".
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