Base | Representation |
---|---|
bin | 11000001011011000… |
… | …10111001001111100 |
3 | 1020111121221111211200 |
4 | 30011230113021330 |
5 | 203040441322043 |
6 | 5544011215500 |
7 | 636444503526 |
oct | 140554271174 |
9 | 36447844750 |
10 | 12980417148 |
11 | 556111a586 |
12 | 2623147590 |
13 | 12bb30640a |
14 | 8b1d0ca16 |
15 | 50e8847d3 |
hex | 305b1727c |
12980417148 has 18 divisors (see below), whose sum is σ = 32811610104. Its totient is φ = 4326805704.
The previous prime is 12980417141. The next prime is 12980417171. The reversal of 12980417148 is 84171408921.
12980417148 is a `hidden beast` number, since 1 + 2 + 98 + 0 + 417 + 148 = 666.
12980417148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (18).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12980417141) by changing a digit.
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 5 ways as a sum of consecutive naturals, for example, 180283536 + ... + 180283607.
It is an arithmetic number, because the mean of its divisors is an integer number (1822867228).
Almost surely, 212980417148 is an apocalyptic number.
12980417148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
12980417148 is an abundant number, since it is smaller than the sum of its proper divisors (19831192956).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12980417148 is a wasteful number, since it uses less digits than its factorization.
12980417148 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 360567153 (or 360567148 counting only the distinct ones).
The product of its (nonzero) digits is 129024, while the sum is 45.
It can be divided in two parts, 12980 and 417148, that added together give a triangular number (430128 = T927).
The spelling of 12980417148 in words is "twelve billion, nine hundred eighty million, four hundred seventeen thousand, one hundred forty-eight".
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