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44249820384 = 2537115986177
BaseRepresentation
bin101001001101011111…
…101010110011100000
311020012211211210002110
4221031133222303200
51211110423223014
632154511115320
73124360160460
oct511537526340
9136184753073
1044249820384
1117847962aa0
1286ab212b40
134232682993
1421dab91ba0
15123eb57d59
hexa4d7eace0

44249820384 has 96 divisors (see below), whose sum is σ = 144817618176. Its totient is φ = 11493457920.

The previous prime is 44249820383. The next prime is 44249820401. The reversal of 44249820384 is 48302894244.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44249820383) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2985697 + ... + 3000480.

It is an arithmetic number, because the mean of its divisors is an integer number (1508516856).

Almost surely, 244249820384 is an apocalyptic number.

44249820384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44249820384 is an abundant number, since it is smaller than the sum of its proper divisors (100567797792).

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

44249820384 is a wasteful number, since it uses less digits than its factorization.

44249820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986208 (or 5986200 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 44249820384 in words is "forty-four billion, two hundred forty-nine million, eight hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 5986177 11972354 17958531 23944708 35917062 41903239 47889416 65847947 71834124 83806478 95778832 125709717 131695894 143668248 167612956 191557664 197543841 251419434 263391788 287336496 335225912 395087682 460935629 502838868 526783576 574672992 670451824 790175364 921871258 1005677736 1053567152 1340903648 1382806887 1580350728 1843742516 2011355472 2107134304 2765613774 3160701456 3687485032 4022710944 5531227548 6321402912 7374970064 11062455096 14749940128 22124910192 44249820384