Base | Representation |
---|---|
bin | 1000101001011011111… |
… | …0100100110100010000 |
3 | 112012110112101011010202 |
4 | 2022112332210310100 |
5 | 4413223314433232 |
6 | 152125352314332 |
7 | 13506334044434 |
oct | 2122676446420 |
9 | 465415334122 |
10 | 148561874192 |
11 | 58006339a26 |
12 | 249610a29a8 |
13 | 11017642244 |
14 | 72947969c4 |
15 | 3ce7708162 |
hex | 2296fa4d10 |
148561874192 has 120 divisors (see below), whose sum is σ = 317691545160. Its totient is φ = 67206021120.
The previous prime is 148561874159. The next prime is 148561874231. The reversal of 148561874192 is 291478165841.
It can be written as a sum of positive squares in 12 ways, for example, as 6435890176 + 142125984016 = 80224^2 + 376996^2 .
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 32314838 + ... + 32319434.
It is an arithmetic number, because the mean of its divisors is an integer number (2647429543).
Almost surely, 2148561874192 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 148561874192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158845772580).
148561874192 is an abundant number, since it is smaller than the sum of its proper divisors (169129670968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148561874192 is a wasteful number, since it uses less digits than its factorization.
148561874192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4909 (or 4886 counting only the distinct ones).
The product of its digits is 3870720, while the sum is 56.
The spelling of 148561874192 in words is "one hundred forty-eight billion, five hundred sixty-one million, eight hundred seventy-four thousand, one hundred ninety-two".
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