Base | Representation |
---|---|
bin | 1001101010011111110101… |
… | …10111100011100000000000 |
3 | 2210020121121110001220202000 |
4 | 10311033322313203200000 |
5 | 10241140342443040030 |
6 | 113110433002024000 |
7 | 4322235542136600 |
oct | 465177267434000 |
9 | 83217543056660 |
10 | 21251412080640 |
11 | 6853745107275 |
12 | 24727baaa8000 |
13 | bb1ccc059821 |
14 | 536806850c00 |
15 | 26cbe8395860 |
hex | 1353fade3800 |
21251412080640 has 576 divisors, whose sum is σ = 87875593696800. Its totient is φ = 4857462521856.
The previous prime is 21251412080629. The next prime is 21251412080641. The reversal of 21251412080640 is 4608021415212.
21251412080640 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 1 + 4 + 1 + 2 + 0 + 8 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 21251412080595 and 21251412080604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21251412080641) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12763192 + ... + 14331848.
Almost surely, 221251412080640 is an apocalyptic number.
21251412080640 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 21251412080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43937796848400).
21251412080640 is an abundant number, since it is smaller than the sum of its proper divisors (66624181616160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21251412080640 is a wasteful number, since it uses less digits than its factorization.
21251412080640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1568707 (or 1568674 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
Adding to 21251412080640 its reverse (4608021415212), we get a palindrome (25859433495852).
The spelling of 21251412080640 in words is "twenty-one trillion, two hundred fifty-one billion, four hundred twelve million, eighty thousand, six hundred forty".
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