Base | Representation |
---|---|
bin | 1000100001010001001… |
… | …1101001111110110100 |
3 | 111222210202012022211120 |
4 | 2020110103221332310 |
5 | 4344231103210301 |
6 | 151124040103540 |
7 | 13401113642121 |
oct | 2102423517664 |
9 | 458722168746 |
10 | 146369585076 |
11 | 570908a6740 |
12 | 2444aa64bb0 |
13 | 10a583b0550 |
14 | 7127565748 |
15 | 3c1a010e36 |
hex | 22144e9fb4 |
146369585076 has 96 divisors (see below), whose sum is σ = 403139498496. Its totient is φ = 40748400000.
The previous prime is 146369585071. The next prime is 146369585083. The reversal of 146369585076 is 670585963641.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146369585071) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159951 + ... + 564201.
It is an arithmetic number, because the mean of its divisors is an integer number (4199369776).
Almost surely, 2146369585076 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 146369585076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201569749248).
146369585076 is an abundant number, since it is smaller than the sum of its proper divisors (256769913420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146369585076 is a wasteful number, since it uses less digits than its factorization.
146369585076 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 404493 (or 404491 counting only the distinct ones).
The product of its (nonzero) digits is 32659200, while the sum is 60.
It can be divided in two parts, 146369 and 585076, that added together give a triangular number (731445 = T1209).
The spelling of 146369585076 in words is "one hundred forty-six billion, three hundred sixty-nine million, five hundred eighty-five thousand, seventy-six".
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