Base | Representation |
---|---|
bin | 101111101000011000011101… |
… | …011001111111000110000000 |
3 | 1000110201101211100122020110000 |
4 | 233220120131121333012000 |
5 | 204424133122412341100 |
6 | 2021311133322240000 |
7 | 62060443452361563 |
oct | 5750303531770600 |
9 | 1013641740566400 |
10 | 209483228246400 |
11 | 6082537a146189 |
12 | 1b5b3305356000 |
13 | 8cb7250670284 |
14 | 39a30842a64da |
15 | 1934215c60900 |
hex | be861d67f180 |
209483228246400 has 1920 divisors, whose sum is σ = 843010707924000. Its totient is φ = 51046789939200.
The previous prime is 209483228246393. The next prime is 209483228246417. The reversal of 209483228246400 is 4642822384902.
209483228246400 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 8 + 3 + 228 + 2 + 4 + 6 + 400 = 666.
209483228246400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-2 number, since 2×2094832282464002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17970589372 + ... + 17970601028.
Almost surely, 2209483228246400 is an apocalyptic number.
209483228246400 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 209483228246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421505353962000).
209483228246400 is an abundant number, since it is smaller than the sum of its proper divisors (633527479677600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
209483228246400 is a wasteful number, since it uses less digits than its factorization.
209483228246400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11842 (or 11816 counting only the distinct ones).
The product of its (nonzero) digits is 10616832, while the sum is 54.
The spelling of 209483228246400 in words is "two hundred nine trillion, four hundred eighty-three billion, two hundred twenty-eight million, two hundred forty-six thousand, four hundred".
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