| Base | Representation |
|---|---|
| bin | 1000101101001100010001… |
| … | …10010100110111100100000 |
| 3 | 2111210020111110202202212000 |
| 4 | 10112212020302212330200 |
| 5 | 10002132341314100433 |
| 6 | 104415024121404000 |
| 7 | 4014115026501000 |
| oct | 426461062467440 |
| 9 | 74706443682760 |
| 10 | 19144964206368 |
| 11 | 6111374205a80 |
| 12 | 2192509939600 |
| 13 | a8b4931b5a00 |
| 14 | 4a289a868000 |
| 15 | 233010077113 |
| hex | 116988ca6f20 |
19144964206368 has 4608 divisors, whose sum is σ = 85001011200000. Its totient is φ = 4137006182400.
The previous prime is 19144964206327. The next prime is 19144964206397. The reversal of 19144964206368 is 86360246944191.
It is a happy number.
19144964206368 is a `hidden beast` number, since 1 + 9 + 1 + 4 + 4 + 9 + 64 + 206 + 368 = 666.
It is a super-3 number, since 3×191449642063683 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (63).
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 767 ways as a sum of consecutive naturals, for example, 324490918723 + ... + 324490918781.
It is an arithmetic number, because the mean of its divisors is an integer number (18446400000).
Almost surely, 219144964206368 is an apocalyptic number.
19144964206368 is a gapful number since it is divisible by the number (18) 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 19144964206368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42500505600000).
19144964206368 is an abundant number, since it is smaller than the sum of its proper divisors (65856046993632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19144964206368 is a wasteful number, since it uses less digits than its factorization.
19144964206368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 186 (or 145 counting only the distinct ones).
The product of its (nonzero) digits is 53747712, while the sum is 63.
The spelling of 19144964206368 in words is "nineteen trillion, one hundred forty-four billion, nine hundred sixty-four million, two hundred six thousand, three hundred sixty-eight".
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