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43354080096 = 2537922692
BaseRepresentation
bin101000011000000110…
…101100001101100000
311010220102100110102020
4220120012230031200
51202242121030341
631525552221440
73063232412655
oct503006541540
9133812313366
1043354080096
1117428280068
12849b23a880
13411bc1b142
142153c23c2c
1511db1bd566
hexa181ac360

43354080096 has 108 divisors (see below), whose sum is σ = 115693338852. Its totient is φ = 14215388928.

The previous prime is 43354080059. The next prime is 43354080127. The reversal of 43354080096 is 69008045334.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 161167450 + ... + 161167718.

It is an arithmetic number, because the mean of its divisors is an integer number (1071234619).

Almost surely, 243354080096 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 43354080096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57846669426).

43354080096 is an abundant number, since it is smaller than the sum of its proper divisors (72339258756).

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

43354080096 is an frugal number, since it uses more digits than its factorization.

43354080096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 43354080096 in words is "forty-three billion, three hundred fifty-four million, eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 269 316 474 538 632 807 948 1076 1264 1614 1896 2152 2528 3228 3792 4304 6241 6456 7584 8608 12482 12912 18723 21251 24964 25824 37446 42502 49928 63753 72361 74892 85004 99856 127506 144722 149784 170008 199712 217083 255012 289444 299568 340016 434166 510024 578888 599136 680032 868332 1020048 1157776 1678829 1736664 2040096 2315552 3357658 3473328 5036487 5716519 6715316 6946656 10072974 11433038 13430632 17149557 20145948 22866076 26861264 34299114 40291896 45732152 53722528 68598228 80583792 91464304 137196456 161167584 182928608 274392912 451605001 548785824 903210002 1354815003 1806420004 2709630006 3612840008 5419260012 7225680016 10838520024 14451360032 21677040048 43354080096