Base | Representation |
---|---|
bin | 11111100101000010111… |
… | …11111101001000000000 |
3 | 10211201200101120102000000 |
4 | 33302201133331020000 |
5 | 120234131031022300 |
6 | 2150243332000000 |
7 | 141251222411442 |
oct | 17624137751000 |
9 | 3751611512000 |
10 | 1085041267200 |
11 | 389188565700 |
12 | 156356160000 |
13 | 7b41b97a7a7 |
14 | 3a732946492 |
15 | 1d3575ddc00 |
hex | fca17fd200 |
1085041267200 has 1890 divisors, whose sum is σ = 4577816487321. Its totient is φ = 254555136000.
The previous prime is 1085041267157. The next prime is 1085041267201. The reversal of 1085041267200 is 27621405801.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
1085041267200 is a `hidden beast` number, since 1 + 0 + 8 + 504 + 126 + 7 + 20 + 0 = 666.
1085041267200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 1063340441856 + 21700825344 = 1031184^2 + 147312^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=736560.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (1085041267201) by changing a digit.
It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 35001331185 + ... + 35001331215.
Almost surely, 21085041267200 is an apocalyptic number.
1085041267200 is a gapful number since it is divisible by the number (10) 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 1085041267200
1085041267200 is an abundant number, since it is smaller than the sum of its proper divisors (3492775220121).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1085041267200 is an frugal number, since it uses more digits than its factorization.
1085041267200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 130 (or 52 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 36.
The spelling of 1085041267200 in words is "one trillion, eighty-five billion, forty-one million, two hundred sixty-seven thousand, two hundred".
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