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84443034448 = 24591011914637
BaseRepresentation
bin100111010100100110…
…0100111001101010000
322001221222110121110101
41032221030213031100
52340414404100243
6102443111142144
76046401643543
oct1165114471520
9261858417411
1084443034448
11328a2989683
1214447974954
137c69784896
144130c9685a
1522e35a854d
hex13a9327350

84443034448 has 80 divisors (see below), whose sum is σ = 168944901120. Its totient is φ = 40870976000.

The previous prime is 84443034439. The next prime is 84443034449.

84443034448 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×844430344482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84443034398 and 84443034407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84443034449) 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 15 ways as a sum of consecutive naturals, for example, 18208386 + ... + 18213022.

It is an arithmetic number, because the mean of its divisors is an integer number (2111811264).

Almost surely, 284443034448 is an apocalyptic number.

It is an amenable number.

84443034448 is an abundant number, since it is smaller than the sum of its proper divisors (84501866672).

84443034448 is a wasteful number, since it uses less digits than its factorization.

84443034448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 46.

It can be divided in two parts, 844430 and 34448, that added together give a palindrome (878878).

The spelling of 84443034448 in words is "eighty-four billion, four hundred forty-three million, thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 59 101 118 191 202 236 382 404 472 764 808 944 1528 1616 3056 4637 5959 9274 11269 11918 18548 19291 22538 23836 37096 38582 45076 47672 74192 77164 90152 95344 154328 180304 273583 308656 468337 547166 885667 936674 1094332 1138169 1771334 1873348 2188664 2276338 3542668 3746696 4377328 4552676 7085336 7493392 9105352 14170672 18210704 27631883 52254353 55263766 89452367 104508706 110527532 178904734 209017412 221055064 357809468 418034824 442110128 715618936 836069648 1431237872 5277689653 10555379306 21110758612 42221517224 84443034448