Base | Representation |
---|---|
bin | 110001110010010000… |
… | …011100011100000000 |
3 | 12002222110212121222200 |
4 | 301302100130130000 |
5 | 1333434332132320 |
6 | 40320234433200 |
7 | 3601462634223 |
oct | 616220343400 |
9 | 162873777880 |
10 | 53456520960 |
11 | 207418a3447 |
12 | a43a592800 |
13 | 506bbc50bb |
14 | 28318115ba |
15 | 15cd064290 |
hex | c7241c700 |
53456520960 has 216 divisors, whose sum is σ = 185126061120. Its totient is φ = 14241816576.
The previous prime is 53456520917. The next prime is 53456520967. The reversal of 53456520960 is 6902565435.
53456520960 is a `hidden beast` number, since 5 + 3 + 4 + 565 + 20 + 9 + 60 = 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 (53456520967) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23372937 + ... + 23375223.
Almost surely, 253456520960 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 53456520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92563030560).
53456520960 is an abundant number, since it is smaller than the sum of its proper divisors (131669540160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53456520960 is a wasteful number, since it uses less digits than its factorization.
53456520960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4343 (or 4326 counting only the distinct ones).
The product of its (nonzero) digits is 972000, while the sum is 45.
The spelling of 53456520960 in words is "fifty-three billion, four hundred fifty-six million, five hundred twenty thousand, nine hundred sixty".
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