Base | Representation |
---|---|
bin | 100000001001010100001… |
… | …0001011001010000000000 |
3 | 120122100202110121022021000 |
4 | 1000102220101121100000 |
5 | 1034341131133344243 |
6 | 13221342433532000 |
7 | 634123246143315 |
oct | 100225021312000 |
9 | 16570673538230 |
10 | 4418049512448 |
11 | 1453758853900 |
12 | 5b42b7a14000 |
13 | 26080a9b1850 |
14 | 113b9873ad0c |
15 | 79dcc28c5d3 |
hex | 404a8459400 |
4418049512448 has 2112 divisors, whose sum is σ = 16685283686400. Its totient is φ = 1144494489600.
The previous prime is 4418049512431. The next prime is 4418049512453. The reversal of 4418049512448 is 8442159408144.
It is a happy number.
4418049512448 is a `hidden beast` number, since 4 + 4 + 1 + 80 + 4 + 9 + 512 + 4 + 48 = 666.
It is a tau number, because it is divible by the number of its divisors (2112).
It is a super-2 number, since 2×44180495124482 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 4418049512394 and 4418049512403.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39097783240 + ... + 39097783352.
Almost surely, 24418049512448 is an apocalyptic number.
4418049512448 is a gapful number since it is divisible by the number (48) 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 4418049512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342641843200).
4418049512448 is an abundant number, since it is smaller than the sum of its proper divisors (12267234173952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4418049512448 is a wasteful number, since it uses less digits than its factorization.
4418049512448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 237 (or 202 counting only the distinct ones).
The product of its (nonzero) digits is 5898240, while the sum is 54.
The spelling of 4418049512448 in words is "four trillion, four hundred eighteen billion, forty-nine million, five hundred twelve thousand, four hundred forty-eight".
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