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44894744064 = 293245721319
BaseRepresentation
bin101001110011111011…
…110110111000000000
311021212210101022001200
4221303323312320000
51213421023302224
632342510101200
73146351012442
oct516373667000
9137783338050
1044894744064
1118048a04775
12884b1aa800
13430617a221
14225c6b0492
15127b59b5c9
hexa73ef6e00

44894744064 has 120 divisors (see below), whose sum is σ = 129858883440. Its totient is φ = 14931468288.

The previous prime is 44894744053. The next prime is 44894744077. The reversal of 44894744064 is 46044749844.

It is a happy number.

44894744064 is a `hidden beast` number, since 448 + 94 + 74 + 40 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 44894744064.

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 11 ways as a sum of consecutive naturals, for example, 2095197 + ... + 2116515.

It is an arithmetic number, because the mean of its divisors is an integer number (1082157362).

Almost surely, 244894744064 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 44894744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64929441720).

44894744064 is an abundant number, since it is smaller than the sum of its proper divisors (84964139376).

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

44894744064 is a wasteful number, since it uses less digits than its factorization.

44894744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21800 (or 21781 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 44894744064 in words is "forty-four billion, eight hundred ninety-four million, seven hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 457 512 576 768 914 1152 1371 1536 1828 2304 2742 3656 4113 4608 5484 7312 8226 10968 14624 16452 21319 21936 29248 32904 42638 43872 58496 63957 65808 85276 87744 116992 127914 131616 170552 175488 191871 233984 255828 263232 341104 350976 383742 511656 526464 682208 701952 767484 1023312 1052928 1364416 1534968 2046624 2105856 2728832 3069936 4093248 5457664 6139872 8186496 9742783 10915328 12279744 16372992 19485566 24559488 29228349 32745984 38971132 49118976 58456698 77942264 87685047 98237952 116913396 155884528 175370094 233826792 311769056 350740188 467653584 623538112 701480376 935307168 1247076224 1402960752 1870614336 2494152448 2805921504 3741228672 4988304896 5611843008 7482457344 11223686016 14964914688 22447372032 44894744064