| Base | Representation |
|---|---|
| bin | 11111100110100101110… |
| … | …00011101010100000000 |
| 3 | 10211210211010112220210000 |
| 4 | 33303102320131110000 |
| 5 | 120242330130232310 |
| 6 | 2150501445440000 |
| 7 | 141310602534420 |
| oct | 17632270352400 |
| 9 | 3753733486700 |
| 10 | 1085869774080 |
| 11 | 3895731a7133 |
| 12 | 156547710000 |
| 13 | 7b521501b50 |
| 14 | 3a7b09b2480 |
| 15 | 1d3a51e74c0 |
| hex | fcd2e1d500 |
1085869774080 has 1440 divisors, whose sum is σ = 4852425650688. Its totient is φ = 225740390400.
The previous prime is 1085869774069. The next prime is 1085869774127. The reversal of 1085869774080 is 804779685801.
1085869774080 is a `hidden beast` number, since 1 + 0 + 8 + 586 + 9 + 7 + 7 + 40 + 8 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-2 number, since 2×10858697740802 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 1085869773999 and 1085869774017.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 669875670 + ... + 669877290.
Almost surely, 21085869774080 is an apocalyptic number.
1085869774080 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 1085869774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426212825344).
1085869774080 is an abundant number, since it is smaller than the sum of its proper divisors (3766555876608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1085869774080 is a wasteful number, since it uses less digits than its factorization.
1085869774080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1745 (or 1722 counting only the distinct ones).
The product of its (nonzero) digits is 27095040, while the sum is 63.
The spelling of 1085869774080 in words is "one trillion, eighty-five billion, eight hundred sixty-nine million, seven hundred seventy-four thousand, eighty".
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