| Base | Representation |
|---|---|
| bin | 1001101000111110100011… |
| … | …11110111001011101000000 |
| 3 | 2210001121210202111011112200 |
| 4 | 10310133101332321131000 |
| 5 | 10234311413223012120 |
| 6 | 113030434415153200 |
| 7 | 4315406414246400 |
| oct | 464372176713500 |
| 9 | 83047722434480 |
| 10 | 21199186532160 |
| 11 | 683358515475a |
| 12 | 2464664815800 |
| 13 | baa0c81b1710 |
| 14 | 534090712800 |
| 15 | 26b68d438e90 |
| hex | 1347d1fb9740 |
21199186532160 has 1008 divisors, whose sum is σ = 96719204037456. Its totient is φ = 4209683595264.
The previous prime is 21199186532123. The next prime is 21199186532281. The reversal of 21199186532160 is 6123568199112.
21199186532160 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 91 + 8 + 6 + 532 + 16 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 466609215744 + 20732577316416 = 683088^2 + 4553304^2 .
It is a tau number, because it is divible by the number of its divisors (1008).
It is a junction number, because it is equal to n+sod(n) for n = 21199186532097 and 21199186532106.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30847654 + ... + 31527386.
It is an arithmetic number, because the mean of its divisors is an integer number (95951591307).
Almost surely, 221199186532160 is an apocalyptic number.
21199186532160 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 21199186532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48359602018728).
21199186532160 is an abundant number, since it is smaller than the sum of its proper divisors (75520017505296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21199186532160 is a wasteful number, since it uses less digits than its factorization.
21199186532160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 679800 (or 679780 counting only the distinct ones).
The product of its (nonzero) digits is 1399680, while the sum is 54.
The spelling of 21199186532160 in words is "twenty-one trillion, one hundred ninety-nine billion, one hundred eighty-six million, five hundred thirty-two thousand, one hundred sixty".
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