Base | Representation |
---|---|
bin | 1010110000010101… |
… | …00111110000000000 |
3 | 112220102002001000000 |
4 | 11120022213300000 |
5 | 43311140142220 |
6 | 2352544000000 |
7 | 263042302350 |
oct | 53012476000 |
9 | 15812061000 |
10 | 5774146560 |
11 | 24a339a856 |
12 | 1151900000 |
13 | 71035bc90 |
14 | 3cac1ab60 |
15 | 23bdc3390 |
hex | 1582a7c00 |
5774146560 has 1232 divisors, whose sum is σ = 27063239616. Its totient is φ = 1146617856.
The previous prime is 5774146549. The next prime is 5774146561. The reversal of 5774146560 is 656414775.
5774146560 is a `hidden beast` number, since 5 + 7 + 7 + 41 + 46 + 560 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (5774146561) by changing a digit.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 339655672 + ... + 339655688.
Almost surely, 25774146560 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 5774146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531619808).
5774146560 is an abundant number, since it is smaller than the sum of its proper divisors (21289093056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5774146560 is a wasteful number, since it uses less digits than its factorization.
5774146560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 80 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 705600, while the sum is 45.
The square root of 5774146560 is about 75987.8053374356. The cubic root of 5774146560 is about 1794.0282095317.
The spelling of 5774146560 in words is "five billion, seven hundred seventy-four million, one hundred forty-six thousand, five hundred sixty".
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