Base | Representation |
---|---|
bin | 11111111111011111101… |
… | …001100000000000000000 |
3 | 21210011122212220020200000 |
4 | 133333133221200000000 |
5 | 242004442001031100 |
6 | 4401545030400000 |
7 | 314556252542202 |
oct | 37773751400000 |
9 | 7704585806600 |
10 | 2198480486400 |
11 | 778408a13a20 |
12 | 2b60b6800000 |
13 | 12c414b1b373 |
14 | 7859ac2c772 |
15 | 3c2c2d50900 |
hex | 1ffdfa60000 |
2198480486400 has 1296 divisors, whose sum is σ = 8945057354688. Its totient is φ = 530841600000.
The previous prime is 2198480486387. The next prime is 2198480486407. The reversal of 2198480486400 is 46840848912.
It is a happy number.
2198480486400 is a `hidden beast` number, since 2 + 1 + 9 + 84 + 80 + 4 + 86 + 400 = 666.
It is a tau number, because it is divible by the number of its divisors (1296).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2198480486407) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8758886275 + ... + 8758886525.
It is an arithmetic number, because the mean of its divisors is an integer number (6902050428).
Almost surely, 22198480486400 is an apocalyptic number.
2198480486400 is a gapful number since it is divisible by the number (20) 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 2198480486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472528677344).
2198480486400 is an abundant number, since it is smaller than the sum of its proper divisors (6746576868288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2198480486400 is an frugal number, since it uses more digits than its factorization.
2198480486400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 321 (or 272 counting only the distinct ones).
The product of its (nonzero) digits is 3538944, while the sum is 54.
It can be divided in two parts, 21984804 and 86400, that added together give a square (22071204 = 46982).
The spelling of 2198480486400 in words is "two trillion, one hundred ninety-eight billion, four hundred eighty million, four hundred eighty-six thousand, four hundred".
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