Base | Representation |
---|---|
bin | 10011111110010101… |
… | …00110110110000000 |
3 | 1000200100000020221210 |
4 | 21333022212312000 |
5 | 133430143442233 |
6 | 4532024050120 |
7 | 526510402506 |
oct | 117712466600 |
9 | 30610006853 |
10 | 10723421568 |
11 | 4603101382 |
12 | 20b3303940 |
13 | 101b83a482 |
14 | 73a276676 |
15 | 42b65a163 |
hex | 27f2a6d80 |
10723421568 has 128 divisors (see below), whose sum is σ = 30428615520. Its totient is φ = 3334209536.
The previous prime is 10723421561. The next prime is 10723421593. The reversal of 10723421568 is 86512432701.
10723421568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×107234215682 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10723421561) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 730396 + ... + 744932.
Almost surely, 210723421568 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 10723421568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214307760).
10723421568 is an abundant number, since it is smaller than the sum of its proper divisors (19705193952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10723421568 is a wasteful number, since it uses less digits than its factorization.
10723421568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14684 (or 14672 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 39.
The spelling of 10723421568 in words is "ten billion, seven hundred twenty-three million, four hundred twenty-one thousand, five hundred sixty-eight".
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