| Base | Representation |
|---|---|
| bin | 101101001011101010000110… |
| … | …110111101100110001000000 |
| 3 | 222001120210112221102011111000 |
| 4 | 231023222012313230301000 |
| 5 | 202021204133213234320 |
| 6 | 1542343332021052000 |
| 7 | 56566361554040310 |
| oct | 5513520667546100 |
| 9 | 861523487364430 |
| 10 | 198713219664960 |
| 11 | 58352892070100 |
| 12 | 1a353b53257000 |
| 13 | 86b5764c17500 |
| 14 | 370dab2065440 |
| 15 | 17e8ec0a0bc90 |
| hex | b4ba86decc40 |
198713219664960 has 8064 divisors, whose sum is σ = 1011863370792960. Its totient is φ = 35867639808000.
The previous prime is 198713219664917. The next prime is 198713219665013. The reversal of 198713219664960 is 69466912317891.
It is a happy number.
198713219664960 is a `hidden beast` number, since 1 + 9 + 8 + 71 + 3 + 2 + 1 + 9 + 66 + 496 + 0 = 666.
It is a super-2 number, since 2×1987132196649602 (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 (23) of ones.
It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2722098899484 + ... + 2722098899556.
It is an arithmetic number, because the mean of its divisors is an integer number (125479088640).
Almost surely, 2198713219664960 is an apocalyptic number.
198713219664960 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 198713219664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505931685396480).
198713219664960 is an abundant number, since it is smaller than the sum of its proper divisors (813150151128000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198713219664960 is a wasteful number, since it uses less digits than its factorization.
198713219664960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 256 (or 216 counting only the distinct ones).
The product of its (nonzero) digits is 211631616, while the sum is 72.
The spelling of 198713219664960 in words is "one hundred ninety-eight trillion, seven hundred thirteen billion, two hundred nineteen million, six hundred sixty-four thousand, nine hundred sixty".
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