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449576553216 = 2837392321317
BaseRepresentation
bin1101000101011001101…
…10011100101100000000
31120222102202121012211110
412202230312130230000
524331213044200331
6542311013443320
744323632436020
oct6425466345400
91528382535743
10449576553216
1116373427562a
127316a340540
133351974a52b
1417a8c587a80
15ba63ee7946
hex68acd9cb00

449576553216 has 144 divisors (see below), whose sum is σ = 1367874756864. Its totient is φ = 128411676672.

The previous prime is 449576553199. The next prime is 449576553247. The reversal of 449576553216 is 612355675944.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 21079390 + ... + 21100706.

It is an arithmetic number, because the mean of its divisors is an integer number (9499130256).

Almost surely, 2449576553216 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 449576553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683937378432).

449576553216 is an abundant number, since it is smaller than the sum of its proper divisors (918298203648).

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

449576553216 is a wasteful number, since it uses less digits than its factorization.

449576553216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25266 (or 25252 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 57.

The spelling of 449576553216 in words is "four hundred forty-nine billion, five hundred seventy-six million, five hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 3923 5376 7846 11769 15692 21317 23538 27461 31384 42634 47076 54922 62768 63951 82383 85268 94152 109844 125536 127902 149219 164766 170536 188304 219688 251072 255804 298438 329532 341072 376608 439376 447657 502144 511608 596876 659064 682144 753216 878752 895314 1004288 1023216 1193752 1318128 1364288 1506432 1757504 1790628 2046432 2387504 2636256 2728576 3012864 3515008 3581256 4092864 4775008 5272512 5457152 7030016 7162512 8185728 9550016 10545024 14325024 16371456 19100032 21090048 28650048 38200064 57300096 83626591 114600192 167253182 250879773 334506364 501759546 585386137 669012728 1003519092 1170772274 1338025456 1756158411 2007038184 2341544548 2676050912 3512316822 4014076368 4683089096 5352101824 7024633644 8028152736 9366178192 10704203648 14049267288 16056305472 18732356384 21408407296 28098534576 32112610944 37464712768 56197069152 64225221888 74929425536 112394138304 149858851072 224788276608 449576553216