Base | Representation |
---|---|
bin | 100111110110101100… |
… | …100100000111000000 |
3 | 11002110100200021000000 |
4 | 213312230210013000 |
5 | 1200120124124130 |
6 | 31354211000000 |
7 | 3043315311525 |
oct | 476654440700 |
9 | 132410607000 |
10 | 42793583040 |
11 | 1716a95335a |
12 | 8363599000 |
13 | 405ca73a90 |
14 | 20dd60114c |
15 | 11a6da5260 |
hex | 9f6b241c0 |
42793583040 has 784 divisors, whose sum is σ = 167346099648. Its totient is φ = 10355392512.
The previous prime is 42793583029. The next prime is 42793583057. The reversal of 42793583040 is 4038539724.
42793583040 is a `hidden beast` number, since 4 + 27 + 9 + 3 + 583 + 0 + 40 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 312361852 + ... + 312361988.
Almost surely, 242793583040 is an apocalyptic number.
42793583040 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 42793583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83673049824).
42793583040 is an abundant number, since it is smaller than the sum of its proper divisors (124552516608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42793583040 is a wasteful number, since it uses less digits than its factorization.
42793583040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 288 (or 263 counting only the distinct ones).
The product of its (nonzero) digits is 725760, while the sum is 45.
The spelling of 42793583040 in words is "forty-two billion, seven hundred ninety-three million, five hundred eighty-three thousand, forty".
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