| Base | Representation |
|---|---|
| bin | 1001100111100000111101… |
| … | …01111101011010100000000 |
| 3 | 2202212211002121221200002200 |
| 4 | 10303300132233223110000 |
| 5 | 10233001004300431120 |
| 6 | 112551404141513200 |
| 7 | 4311650214353655 |
| oct | 463603657532400 |
| 9 | 82784077850080 |
| 10 | 21148934780160 |
| 11 | 6814238371700 |
| 12 | 245697b572800 |
| 13 | ba544a237a15 |
| 14 | 5318847abc2c |
| 15 | 26a1eb915e90 |
| hex | 133c1ebeb500 |
21148934780160 has 648 divisors, whose sum is σ = 80895784204872. Its totient is φ = 5097320448000.
The previous prime is 21148934780159. The next prime is 21148934780167. The reversal of 21148934780160 is 6108743984112.
21148934780160 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 8 + 9 + 3 + 478 + 0 + 160 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 12284071658496 + 8864863121664 = 3504864^2 + 2977392^2 .
It is a super-2 number, since 2×211489347801602 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 21148934780097 and 21148934780106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21148934780167) 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, 241104310 + ... + 241192010.
Almost surely, 221148934780160 is an apocalyptic number.
21148934780160 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 21148934780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40447892102436).
21148934780160 is an abundant number, since it is smaller than the sum of its proper divisors (59746849424712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21148934780160 is a wasteful number, since it uses less digits than its factorization.
21148934780160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 87923 (or 87895 counting only the distinct ones).
The product of its (nonzero) digits is 2322432, while the sum is 54.
The spelling of 21148934780160 in words is "twenty-one trillion, one hundred forty-eight billion, nine hundred thirty-four million, seven hundred eighty thousand, one hundred sixty".
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