Base | Representation |
---|---|
bin | 1000101110110110011… |
… | …0011000011111000010 |
3 | 112100012210222012210100 |
4 | 2023231212120133002 |
5 | 4424212334300033 |
6 | 152525505143230 |
7 | 13560341510256 |
oct | 2135546303702 |
9 | 470183865710 |
10 | 150015150018 |
11 | 58691706628 |
12 | 250a792ab16 |
13 | 111b9755176 |
14 | 73917b6266 |
15 | 3d800c3513 |
hex | 22ed9987c2 |
150015150018 has 96 divisors (see below), whose sum is σ = 346084607232. Its totient is φ = 46894291200.
The previous prime is 150015149959. The next prime is 150015150023. The reversal of 150015150018 is 810051510051.
150015150018 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 151 + 500 + 1 + 8 = 666.
150015150018 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 150015149973 and 150015150000.
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, 2233303 + ... + 2299493.
It is an arithmetic number, because the mean of its divisors is an integer number (3605047992).
Almost surely, 2150015150018 is an apocalyptic number.
150015150018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 150015150018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173042303616).
150015150018 is an abundant number, since it is smaller than the sum of its proper divisors (196069457214).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
150015150018 is a wasteful number, since it uses less digits than its factorization.
150015150018 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 66360 (or 66357 counting only the distinct ones).
The product of its (nonzero) digits is 1000, while the sum is 27.
Adding to 150015150018 its reverse (810051510051), we get a palindrome (960066660069).
The spelling of 150015150018 in words is "one hundred fifty billion, fifteen million, one hundred fifty thousand, eighteen".
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