Base | Representation |
---|---|
bin | 111011000010000010… |
… | …0001100011000000000 |
3 | 110010012210122012120000 |
4 | 1312010010030120000 |
5 | 4034111023241420 |
6 | 134123123320000 |
7 | 12105321016341 |
oct | 1660404143000 |
9 | 403183565500 |
10 | 126769743360 |
11 | 49843240547 |
12 | 2069ab20000 |
13 | bc538a1280 |
14 | 61c84860c8 |
15 | 346e48a690 |
hex | 1d8410c600 |
126769743360 has 1600 divisors, whose sum is σ = 531035011584. Its totient is φ = 28665446400.
The previous prime is 126769743349. The next prime is 126769743361. The reversal of 126769743360 is 63347967621.
It is a happy number.
126769743360 is a `hidden beast` number, since 1 + 2 + 67 + 6 + 97 + 433 + 60 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 126769743297 and 126769743306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126769743361) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3091944940 + ... + 3091944980.
Almost surely, 2126769743360 is an apocalyptic number.
126769743360 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 126769743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265517505792).
126769743360 is an abundant number, since it is smaller than the sum of its proper divisors (404265268224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126769743360 is a wasteful number, since it uses less digits than its factorization.
126769743360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 157 (or 132 counting only the distinct ones).
The product of its (nonzero) digits is 6858432, while the sum is 54.
The spelling of 126769743360 in words is "one hundred twenty-six billion, seven hundred sixty-nine million, seven hundred forty-three thousand, three hundred sixty".
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