Base | Representation |
---|---|
bin | 101101000110010100101110… |
… | …001110000001111101100000 |
3 | 222000021202101202222020221000 |
4 | 231012110232032001331200 |
5 | 201444202424443022220 |
6 | 1541503110414032000 |
7 | 56531034066262401 |
oct | 5506245616017540 |
9 | 860252352866830 |
10 | 198346660126560 |
11 | 58221389833530 |
12 | 1a2b4ab31a8600 |
13 | 868a018692a6a |
14 | 36da05b20b9a8 |
15 | 17de6b9cd8390 |
hex | b4652e381f60 |
198346660126560 has 1536 divisors, whose sum is σ = 816771058790400. Its totient is φ = 44420382720000.
The previous prime is 198346660126463. The next prime is 198346660126567. The reversal of 198346660126560 is 65621066643891.
It is a super-2 number, since 2×1983466601265602 (a number of 29 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (198346660126567) by changing a digit.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13134663010 + ... + 13134678110.
It is an arithmetic number, because the mean of its divisors is an integer number (531751991400).
Almost surely, 2198346660126560 is an apocalyptic number.
198346660126560 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 198346660126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408385529395200).
198346660126560 is an abundant number, since it is smaller than the sum of its proper divisors (618424398663840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198346660126560 is a wasteful number, since it uses less digits than its factorization.
198346660126560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15453 (or 15439 counting only the distinct ones).
The product of its (nonzero) digits is 67184640, while the sum is 63.
The spelling of 198346660126560 in words is "one hundred ninety-eight trillion, three hundred forty-six billion, six hundred sixty million, one hundred twenty-six thousand, five hundred sixty".
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