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12448146084 = 22311472697459
BaseRepresentation
bin10111001011111011…
…11010001010100100
31012010112101100012120
423211331322022210
5200443211133314
65415114545540
7620322332043
oct134575721244
935115340176
1012448146084
115308721440
1224b4a382b0
131234c6271a
1486135655a
154ccc948a9
hex2e5f7a2a4

12448146084 has 96 divisors (see below), whose sum is σ = 32485017600. Its totient is φ = 3677688960.

The previous prime is 12448146047. The next prime is 12448146107. The reversal of 12448146084 is 48064184421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665147 + ... + 1672605.

It is an arithmetic number, because the mean of its divisors is an integer number (338385600).

Almost surely, 212448146084 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 12448146084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16242508800).

12448146084 is an abundant number, since it is smaller than the sum of its proper divisors (20036871516).

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

12448146084 is a wasteful number, since it uses less digits than its factorization.

12448146084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 12448146084 in words is "twelve billion, four hundred forty-eight million, one hundred forty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 269 282 517 538 564 807 1034 1076 1551 1614 2068 2959 3102 3228 5918 6204 7459 8877 11836 12643 14918 17754 22377 25286 29836 35508 37929 44754 50572 75858 82049 89508 139073 151716 164098 246147 278146 328196 350573 417219 492294 556292 701146 834438 984588 1051719 1402292 1668876 2006471 2103438 3856303 4012942 4206876 6019413 7712606 8025884 11568909 12038826 15425212 22071181 23137818 24077652 44142362 46275636 66213543 88284724 94304137 132427086 188608274 264854172 282912411 377216548 565824822 1037345507 1131649644 2074691014 3112036521 4149382028 6224073042 12448146084