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84040448844 = 22311265638819
BaseRepresentation
bin100111001000100110…
…0110111101101001100
322000220220221010211110
41032101030313231030
52334103323330334
6102335130252020
76033413012562
oct1162114675514
9260826833743
1084040448844
1132706708100
1214354b87010
137c04249451
1440d361ba32
1522bd083ae9
hex1391337b4c

84040448844 has 72 divisors (see below), whose sum is σ = 215599043520. Its totient is φ = 25460035040.

The previous prime is 84040448837. The next prime is 84040448893. The reversal of 84040448844 is 44884404048.

It is a junction number, because it is equal to n+sod(n) for n = 84040448793 and 84040448802.

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 23 ways as a sum of consecutive naturals, for example, 9525067 + ... + 9533885.

It is an arithmetic number, because the mean of its divisors is an integer number (2994431160).

Almost surely, 284040448844 is an apocalyptic number.

It is an amenable number.

84040448844 is an abundant number, since it is smaller than the sum of its proper divisors (131558594676).

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

84040448844 is a wasteful number, since it uses less digits than its factorization.

84040448844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15411 (or 15398 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 84040448844 in words is "eighty-four billion, forty million, four hundred forty-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 6563 8819 13126 17638 19689 26252 26457 35276 39378 52914 72193 78756 97009 105828 144386 194018 216579 288772 291027 388036 433158 582054 794123 866316 1067099 1164108 1588246 2134198 2382369 3176492 3201297 4268396 4764738 6402594 9529476 12805188 57879097 115758194 173637291 231516388 347274582 636670067 694549164 1273340134 1910010201 2546680268 3820020402 7003370737 7640040804 14006741474 21010112211 28013482948 42020224422 84040448844