Base | Representation |
---|---|
bin | 1000100000010101111… |
… | …0111010010111101010 |
3 | 111222011102012200020120 |
4 | 2020011132322113222 |
5 | 4343223421040141 |
6 | 151043233304110 |
7 | 13362003652230 |
oct | 2100536722752 |
9 | 458142180216 |
10 | 146120877546 |
11 | 56a73476026 |
12 | 2439b705036 |
13 | 10a18a01227 |
14 | 7102504950 |
15 | 3c03284c66 |
hex | 22057ba5ea |
146120877546 has 128 divisors (see below), whose sum is σ = 358948122624. Its totient is φ = 38707061760.
The previous prime is 146120877491. The next prime is 146120877547. The reversal of 146120877546 is 645778021641.
146120877546 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (51).
It is not an unprimeable number, because it can be changed into a prime (146120877547) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13822755 + ... + 13833321.
It is an arithmetic number, because the mean of its divisors is an integer number (2804282208).
Almost surely, 2146120877546 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 146120877546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179474061312).
146120877546 is an abundant number, since it is smaller than the sum of its proper divisors (212827245078).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146120877546 is a wasteful number, since it uses less digits than its factorization.
146120877546 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10884.
The product of its (nonzero) digits is 2257920, while the sum is 51.
The spelling of 146120877546 in words is "one hundred forty-six billion, one hundred twenty million, eight hundred seventy-seven thousand, five hundred forty-six".
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