| Base | Representation |
|---|---|
| bin | 11111100111110111100… |
| … | …10011100101010010000 |
| 3 | 10211212120221221002010000 |
| 4 | 33303323302130222100 |
| 5 | 120300231323030100 |
| 6 | 2151053523210000 |
| 7 | 141333605106012 |
| oct | 17637362345220 |
| 9 | 3755527832100 |
| 10 | 1086556064400 |
| 11 | 389895632214 |
| 12 | 1566b9516900 |
| 13 | 7b600750cb1 |
| 14 | 3a837bbc1b2 |
| 15 | 1d3e55ac900 |
| hex | fcfbc9ca90 |
1086556064400 has 225 divisors, whose sum is σ = 3900236021913. Its totient is φ = 289698249600.
The previous prime is 1086556064393. The next prime is 1086556064401. The reversal of 1086556064400 is 44606556801.
The square root of 1086556064400 is 1042380.
It is a perfect power (a square), and thus also a powerful number.
1086556064400 is a `hidden beast` number, since 1 + 0 + 86 + 5 + 560 + 6 + 4 + 4 + 0 + 0 = 666.
It can be written as a sum of positive squares in only one way, i.e., 391160183184 + 695395881216 = 625428^2 + 833904^2 .
It is a tau number, because it is divible by the number of its divisors (225).
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 (1086556064401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 187625505 + ... + 187631295.
Almost surely, 21086556064400 is an apocalyptic number.
1086556064400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1086556064400 is the 1042380-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1086556064400
1086556064400 is an abundant number, since it is smaller than the sum of its proper divisors (2813679957513).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1086556064400 is an frugal number, since it uses more digits than its factorization.
1086556064400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11612 (or 5801 counting only the distinct ones).
The product of its (nonzero) digits is 691200, while the sum is 45.
The spelling of 1086556064400 in words is "one trillion, eighty-six billion, five hundred fifty-six million, sixty-four thousand, four hundred".
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