Base | Representation |
---|---|
bin | 1011000011011110110… |
… | …0101111011000100000 |
3 | 200011012100212211122000 |
4 | 2300313230233120200 |
5 | 11102420214130240 |
6 | 223124515244000 |
7 | 16502136113430 |
oct | 2606754573040 |
9 | 604170784560 |
10 | 189913036320 |
11 | 735a5a5a087 |
12 | 309815a9600 |
13 | 14ba7603b07 |
14 | 92985a22c0 |
15 | 4e17b39430 |
hex | 2c37b2f620 |
189913036320 has 384 divisors, whose sum is σ = 777323796480. Its totient is φ = 42398899200.
The previous prime is 189913036283. The next prime is 189913036321. The reversal of 189913036320 is 23630319981.
189913036320 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 1 + 3 + 0 + 3 + 632 + 0 = 666.
189913036320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1899130363202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (189913036321) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 1227295 + ... + 1373345.
It is an arithmetic number, because the mean of its divisors is an integer number (2024280720).
Almost surely, 2189913036320 is an apocalyptic number.
189913036320 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 189913036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388661898240).
189913036320 is an abundant number, since it is smaller than the sum of its proper divisors (587410760160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189913036320 is a wasteful number, since it uses less digits than its factorization.
189913036320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 146125 (or 146111 counting only the distinct ones).
The product of its (nonzero) digits is 209952, while the sum is 45.
The spelling of 189913036320 in words is "one hundred eighty-nine billion, nine hundred thirteen million, thirty-six thousand, three hundred twenty".
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