Base | Representation |
---|---|
bin | 111100110111100101010… |
… | …010011100000000000000 |
3 | 112210212200000012212000000 |
4 | 330313211102130000000 |
5 | 1022012434044313002 |
6 | 12521324052000000 |
7 | 611125631214612 |
oct | 74674522340000 |
9 | 15725600185000 |
10 | 4182849994752 |
11 | 1372a33859010 |
12 | 5767b8000000 |
13 | 2445970230c0 |
14 | 106645854db2 |
15 | 73c139c661c |
hex | 3cde549c000 |
4182849994752 has 1680 divisors, whose sum is σ = 15403027476480. Its totient is φ = 1117952409600.
The previous prime is 4182849994751. The next prime is 4182849994787. The reversal of 4182849994752 is 2574999482814.
4182849994752 is a `hidden beast` number, since 4 + 1 + 8 + 28 + 49 + 99 + 475 + 2 = 666.
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
Its product of digits (418037760) is a multiple of the sum of its prime factors (180).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4182849994751) 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 111 ways as a sum of consecutive naturals, for example, 52947468249 + ... + 52947468327.
It is an arithmetic number, because the mean of its divisors is an integer number (9168468736).
Almost surely, 24182849994752 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 4182849994752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701513738240).
4182849994752 is an abundant number, since it is smaller than the sum of its proper divisors (11220177481728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4182849994752 is an equidigital number, since it uses as much as digits as its factorization.
4182849994752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180 (or 139 counting only the distinct ones).
The product of its digits is 418037760, while the sum is 72.
The spelling of 4182849994752 in words is "four trillion, one hundred eighty-two billion, eight hundred forty-nine million, nine hundred ninety-four thousand, seven hundred fifty-two".
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