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12208434048 = 27344092879
BaseRepresentation
bin10110101111010110…
…11110101110000000
31011111211022201010000
423113223132232000
5200000324342143
65335233040000
7611351656116
oct132753365600
934454281100
1012208434048
1151a5385218
1224486b6000
1311c73b2995
1483b597ab6
154b6be3bd3
hex2d7adeb80

12208434048 has 160 divisors (see below), whose sum is σ = 36433584000. Its totient is φ = 4058118144.

The previous prime is 12208434037. The next prime is 12208434071. The reversal of 12208434048 is 84043480221.

12208434048 is a `hidden beast` number, since 1 + 2 + 208 + 43 + 404 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 4239073 + ... + 4241951.

It is an arithmetic number, because the mean of its divisors is an integer number (227709900).

Almost surely, 212208434048 is an apocalyptic number.

12208434048 is a gapful number since it is divisible by the number (18) 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 12208434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18216792000).

12208434048 is an abundant number, since it is smaller than the sum of its proper divisors (24225149952).

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

12208434048 is an equidigital number, since it uses as much as digits as its factorization.

12208434048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 12208434048 in words is "twelve billion, two hundred eight million, four hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 409 432 576 648 818 864 1152 1227 1296 1636 1728 2454 2592 2879 3272 3456 3681 4908 5184 5758 6544 7362 8637 9816 10368 11043 11516 13088 14724 17274 19632 22086 23032 25911 26176 29448 33129 34548 39264 44172 46064 51822 52352 58896 66258 69096 77733 78528 88344 92128 103644 117792 132516 138192 155466 157056 176688 184256 207288 233199 235584 265032 276384 310932 353376 368512 414576 466398 471168 530064 552768 621864 706752 829152 932796 1060128 1105536 1177511 1243728 1413504 1658304 1865592 2120256 2355022 2487456 3316608 3532533 3731184 4240512 4710044 4974912 7065066 7462368 9420088 9949824 10597599 14130132 14924736 18840176 21195198 28260264 29849472 31792797 37680352 42390396 56520528 63585594 75360704 84780792 95378391 113041056 127171188 150721408 169561584 190756782 226082112 254342376 339123168 381513564 452164224 508684752 678246336 763027128 1017369504 1356492672 1526054256 2034739008 3052108512 4069478016 6104217024 12208434048