Base | Representation |
---|---|
bin | 10101111010101000100… |
… | …00010001110001100000 |
3 | 2122222201011010022001121 |
4 | 22331110100101301200 |
5 | 44314202401030143 |
6 | 1333534414542024 |
7 | 105255566305252 |
oct | 12752420216140 |
9 | 2588634108047 |
10 | 753032830048 |
11 | 2703a5445864 |
12 | 101b39207914 |
13 | 5601a647355 |
14 | 28638745cd2 |
15 | 148c4d287ed |
hex | af54411c60 |
753032830048 has 48 divisors (see below), whose sum is σ = 1535720770080. Its totient is φ = 363043480576.
The previous prime is 753032830037. The next prime is 753032830049. The reversal of 753032830048 is 840038230357.
It is a super-3 number, since 3×7530328300483 (a number of 37 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 753032829986 and 753032830013.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (753032830049) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143436 + ... + 1235572.
It is an arithmetic number, because the mean of its divisors is an integer number (31994182710).
Almost surely, 2753032830048 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 753032830048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767860385040).
753032830048 is an abundant number, since it is smaller than the sum of its proper divisors (782687940032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
753032830048 is a wasteful number, since it uses less digits than its factorization.
753032830048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1092919 (or 1092911 counting only the distinct ones).
The product of its (nonzero) digits is 483840, while the sum is 43.
The spelling of 753032830048 in words is "seven hundred fifty-three billion, thirty-two million, eight hundred thirty thousand, forty-eight".
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