Base | Representation |
---|---|
bin | 1000101110110101001… |
… | …0010110101111100000 |
3 | 112100012110002111010020 |
4 | 2023231102112233200 |
5 | 4424210013300000 |
6 | 152525200433440 |
7 | 13560246053142 |
oct | 2135522265740 |
9 | 470173074106 |
10 | 150009900000 |
11 | 58689750174 |
12 | 250a6018880 |
13 | 111b863764c |
14 | 7390c0ac92 |
15 | 3d7e8d7ba0 |
hex | 22ed496be0 |
150009900000 has 288 divisors, whose sum is σ = 502707824640. Its totient is φ = 39147840000.
The previous prime is 150009899999. The next prime is 150009900011. The reversal of 150009900000 is 9900051.
It is a happy number.
150009900000 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14094681 + ... + 14105319.
It is an arithmetic number, because the mean of its divisors is an integer number (1745513280).
Almost surely, 2150009900000 is an apocalyptic number.
150009900000 is a gapful number since it is divisible by the number (10) 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 150009900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251353912320).
150009900000 is an abundant number, since it is smaller than the sum of its proper divisors (352697924640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
150009900000 is an equidigital number, since it uses as much as digits as its factorization.
150009900000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10724 (or 10696 counting only the distinct ones).
The product of its (nonzero) digits is 405, while the sum is 24.
The spelling of 150009900000 in words is "one hundred fifty billion, nine million, nine hundred thousand".
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