Base | Representation |
---|---|
bin | 10111001111000010… |
… | …11110110110000000 |
3 | 1012012100111111002112 |
4 | 23213201132312000 |
5 | 201021401423301 |
6 | 5421450234452 |
7 | 621060235436 |
oct | 134741366600 |
9 | 35170444075 |
10 | 12474248576 |
11 | 532142a649 |
12 | 2501725a28 |
13 | 123a4a169a |
14 | 8649ccd56 |
15 | 4d01ed9bb |
hex | 2e785ed80 |
12474248576 has 64 divisors (see below), whose sum is σ = 26336061360. Its totient is φ = 5865062400.
The previous prime is 12474248573. The next prime is 12474248603. The reversal of 12474248576 is 67584247421.
It is a happy number.
12474248576 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 (64).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12474248573) 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 7 ways as a sum of consecutive naturals, for example, 3743231 + ... + 3746561.
Almost surely, 212474248576 is an apocalyptic number.
12474248576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12474248576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13168030680).
12474248576 is an abundant number, since it is smaller than the sum of its proper divisors (13861812784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12474248576 is a wasteful number, since it uses less digits than its factorization.
12474248576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5083 (or 5071 counting only the distinct ones).
The product of its digits is 3010560, while the sum is 50.
The spelling of 12474248576 in words is "twelve billion, four hundred seventy-four million, two hundred forty-eight thousand, five hundred seventy-six".
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