Base | Representation |
---|---|
bin | 1001100011100011001… |
… | …0110100011100111010 |
3 | 120200201201000111121200 |
4 | 2120320302310130322 |
5 | 10142200332302021 |
6 | 203225332515030 |
7 | 14601035414454 |
oct | 2307062643472 |
9 | 520651014550 |
10 | 164161603386 |
11 | 63690a44400 |
12 | 2799547ba76 |
13 | 126324c0831 |
14 | 7d344d32d4 |
15 | 440bed5126 |
hex | 2638cb473a |
164161603386 has 144 divisors (see below), whose sum is σ = 407072398824. Its totient is φ = 47735424000.
The previous prime is 164161603343. The next prime is 164161603393. The reversal of 164161603386 is 683306161461.
164161603386 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 6 + 1 + 603 + 38 + 6 = 666.
164161603386 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 18710136225 + 145451467161 = 136785^2 + 381381^2 .
It is an unprimeable number.
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 71 ways as a sum of consecutive naturals, for example, 5432110 + ... + 5462246.
Almost surely, 2164161603386 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 164161603386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203536199412).
164161603386 is an abundant number, since it is smaller than the sum of its proper divisors (242910795438).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164161603386 is a wasteful number, since it uses less digits than its factorization.
164161603386 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30269 (or 30255 counting only the distinct ones).
The product of its (nonzero) digits is 373248, while the sum is 45.
The spelling of 164161603386 in words is "one hundred sixty-four billion, one hundred sixty-one million, six hundred three thousand, three hundred eighty-six".
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