| Base | Representation |
|---|---|
| bin | 10011011101000111000001… |
| … | …00010000100011101000000 |
| 3 | 12121110212220010202210102100 |
| 4 | 21232203200202010131000 |
| 5 | 21101413300132430210 |
| 6 | 230553340434550400 |
| 7 | 12003604644662400 |
| oct | 1156434042043500 |
| 9 | 177425803683370 |
| 10 | 42781641295680 |
| 11 | 126a4657218341 |
| 12 | 496b451138400 |
| 13 | 1ab43a3464b41 |
| 14 | a7c8dcdac800 |
| 15 | 4e2cae3ca5c0 |
| hex | 26e8e0884740 |
42781641295680 has 1008 divisors, whose sum is σ = 181921350995280. Its totient is φ = 9169093656576.
The previous prime is 42781641295661. The next prime is 42781641295741. The reversal of 42781641295680 is 8659214618724.
It is a happy number.
42781641295680 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 1 + 6 + 41 + 29 + 568 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 5157550008576 + 37624091287104 = 2271024^2 + 6133848^2 .
It is a tau number, because it is divible by the number of its divisors (1008).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 645308614 + ... + 645374906.
Almost surely, 242781641295680 is an apocalyptic number.
42781641295680 is a gapful number since it is divisible by the number (40) 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 42781641295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90960675497640).
42781641295680 is an abundant number, since it is smaller than the sum of its proper divisors (139139709699600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42781641295680 is a wasteful number, since it uses less digits than its factorization.
42781641295680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 66616 (or 66596 counting only the distinct ones).
The product of its (nonzero) digits is 46448640, while the sum is 63.
The spelling of 42781641295680 in words is "forty-two trillion, seven hundred eighty-one billion, six hundred forty-one million, two hundred ninety-five thousand, six hundred eighty".
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