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6448224228446 = 2711213292808293
BaseRepresentation
bin101110111010101100000…
…0111010101010001011110
3211211102222211111112220002
41131311120013111101132
51321121430400302241
621414135011454302
71233604002410330
oct135653007252136
924742884445802
106448224228446
112066749521400
128818612b7392
1337a0ac881a50
1418414a915450
15b2aee3a689b
hex5dd581d545e

6448224228446 has 48 divisors (see below), whose sum is σ = 13085017042272. Its totient is φ = 2319041672640.

The previous prime is 6448224228443. The next prime is 6448224228461.

6448224228446 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6448224228391 and 6448224228400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448224228443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146382125 + ... + 146426168.

It is an arithmetic number, because the mean of its divisors is an integer number (272604521714).

Almost surely, 26448224228446 is an apocalyptic number.

6448224228446 is an abundant number, since it is smaller than the sum of its proper divisors (6636792813826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6448224228446 is a wasteful number, since it uses less digits than its factorization.

6448224228446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292808337 (or 292808326 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 56.

The spelling of 6448224228446 in words is "six trillion, four hundred forty-eight billion, two hundred twenty-four million, two hundred twenty-eight thousand, four hundred forty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 292808293 585616586 2049658051 3220891223 3806507809 4099316102 6441782446 7613015618 22546238561 26645554663 35429803453 41871585899 45092477122 53291109326 70859606906 83743171798 248008624171 293101101293 460587444889 496017248342 586202202586 921174889778 3224112114223 6448224228446