| Base | Representation |
|---|---|
| bin | 1010010010100001000000… |
| … | …1011110001100011000000 |
| 3 | 1111001112101102122112212000 |
| 4 | 2210220100023301203000 |
| 5 | 2440323431114122043 |
| 6 | 40021115220104000 |
| 7 | 2245232011034430 |
| oct | 244502013614300 |
| 9 | 44045342575760 |
| 10 | 11313215379648 |
| 11 | 36719a9168576 |
| 12 | 13286b0b35000 |
| 13 | 640aa7135020 |
| 14 | 2b17c38aa2c0 |
| 15 | 1494391612d3 |
| hex | a4a102f18c0 |
11313215379648 has 448 divisors, whose sum is σ = 40984182435840. Its totient is φ = 2980036915200.
The previous prime is 11313215379647. The next prime is 11313215379833. The reversal of 11313215379648 is 84697351231311.
11313215379648 is a `hidden beast` number, since 1 + 1 + 3 + 13 + 2 + 1 + 537 + 96 + 4 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-4 number, since 4×113132153796484 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 11313215379594 and 11313215379603.
It is not an unprimeable number, because it can be changed into a prime (11313215379643) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129056793 + ... + 129144423.
It is an arithmetic number, because the mean of its divisors is an integer number (91482550080).
Almost surely, 211313215379648 is an apocalyptic number.
11313215379648 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 11313215379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20492091217920).
11313215379648 is an abundant number, since it is smaller than the sum of its proper divisors (29670967056192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11313215379648 is a wasteful number, since it uses less digits than its factorization.
11313215379648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 88493 (or 88477 counting only the distinct ones).
The product of its digits is 3265920, while the sum is 54.
The spelling of 11313215379648 in words is "eleven trillion, three hundred thirteen billion, two hundred fifteen million, three hundred seventy-nine thousand, six hundred forty-eight".
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