Base | Representation |
---|---|
bin | 101011000010111010000100… |
… | …110110010011000000000000 |
3 | 220211022102011102022100120200 |
4 | 223002322010312103000000 |
5 | 144303222223102033300 |
6 | 1510350250542005200 |
7 | 54606420640640445 |
oct | 5302720466230000 |
9 | 824272142270520 |
10 | 189315797299200 |
11 | 5535a419139410 |
12 | 19296805576800 |
13 | 818353175b260 |
14 | 34a6d0d6799cc |
15 | 16d4811d9a200 |
hex | ac2e84d93000 |
189315797299200 has 3744 divisors, whose sum is σ = 830514243686400. Its totient is φ = 40591687680000.
The previous prime is 189315797299177. The next prime is 189315797299229. The reversal of 189315797299200 is 2992797513981.
189315797299200 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 1 + 579 + 7 + 29 + 9 + 20 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3744).
It is a super-2 number, since 2×1893157972992002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
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 287 ways as a sum of consecutive naturals, for example, 608732467045 + ... + 608732467355.
It is an arithmetic number, because the mean of its divisors is an integer number (221825385600).
Almost surely, 2189315797299200 is an apocalyptic number.
189315797299200 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 189315797299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415257121843200).
189315797299200 is an abundant number, since it is smaller than the sum of its proper divisors (641198446387200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
189315797299200 is a wasteful number, since it uses less digits than its factorization.
189315797299200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 555 (or 525 counting only the distinct ones).
The product of its (nonzero) digits is 154314720, while the sum is 72.
The spelling of 189315797299200 in words is "one hundred eighty-nine trillion, three hundred fifteen billion, seven hundred ninety-seven million, two hundred ninety-nine thousand, two hundred".
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