Base | Representation |
---|---|
bin | 1100011001000010000000… |
… | …11101001100010000000000 |
3 | 10120110220202122010210220100 |
4 | 12030201000131030100000 |
5 | 12032414112100420000 |
6 | 133541415422042400 |
7 | 5511425416541613 |
oct | 614410035142000 |
9 | 116426678123810 |
10 | 27248353920000 |
11 | 8755a64474334 |
12 | 3080ab6719400 |
13 | 122867c9503c5 |
14 | 6a2b8241817a |
15 | 323bd3aeba00 |
hex | 18c84074c400 |
27248353920000 has 1320 divisors, whose sum is σ = 103789593198720. Its totient is φ = 6869237760000.
The previous prime is 27248353919989. The next prime is 27248353920001. The reversal of 27248353920000 is 2935384272.
27248353920000 is a `hidden beast` number, since 2 + 72 + 48 + 3 + 539 + 2 + 0 + 0 + 0 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (27248353920001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11790718845 + ... + 11790721155.
It is an arithmetic number, because the mean of its divisors is an integer number (78628479696).
Almost surely, 227248353920000 is an apocalyptic number.
27248353920000 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 27248353920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51894796599360).
27248353920000 is an abundant number, since it is smaller than the sum of its proper divisors (76541239278720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27248353920000 is a wasteful number, since it uses less digits than its factorization.
27248353920000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2469 (or 2433 counting only the distinct ones).
The product of its (nonzero) digits is 725760, while the sum is 45.
It can be divided in two parts, 2724835 and 3920000, that added together give a triangular number (6644835 = T3645).
The spelling of 27248353920000 in words is "twenty-seven trillion, two hundred forty-eight billion, three hundred fifty-three million, nine hundred twenty thousand".
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