Base | Representation |
---|---|
bin | 10011011101100001… |
… | …00011101101100100 |
3 | 222222011001101200210 |
4 | 21232300203231210 |
5 | 132344212020130 |
6 | 4444432135420 |
7 | 516625605462 |
oct | 115660435544 |
9 | 28864041623 |
10 | 10448157540 |
11 | 4481792447 |
12 | 2037097570 |
13 | ca67c0652 |
14 | 7118a1832 |
15 | 4123d55b0 |
hex | 26ec23b64 |
10448157540 has 96 divisors (see below), whose sum is σ = 30285997056. Its totient is φ = 2688491520.
The previous prime is 10448157527. The next prime is 10448157593. The reversal of 10448157540 is 4575184401.
10448157540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 31 ways as a sum of consecutive naturals, for example, 648624 + ... + 664536.
It is an arithmetic number, because the mean of its divisors is an integer number (315479136).
Almost surely, 210448157540 is an apocalyptic number.
10448157540 is a gapful number since it is divisible by the number (10) 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 10448157540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15142998528).
10448157540 is an abundant number, since it is smaller than the sum of its proper divisors (19837839516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10448157540 is a wasteful number, since it uses less digits than its factorization.
10448157540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16309 (or 16307 counting only the distinct ones).
The product of its (nonzero) digits is 89600, while the sum is 39.
The spelling of 10448157540 in words is "ten billion, four hundred forty-eight million, one hundred fifty-seven thousand, five hundred forty".
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