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81603164256 = 25322333711311
BaseRepresentation
bin100101111111111101…
…1010111100001100000
321210122001202020220220
41023333323113201200
52314110402224011
6101253223003040
75616126310605
oct1137773274140
9253561666826
1081603164256
113167594a119
1213994899480
137906307c13
143d41a546ac
1521c90e5506
hex12ffed7860

81603164256 has 96 divisors (see below), whose sum is σ = 215826444288. Its totient is φ = 26996336640.

The previous prime is 81603164213. The next prime is 81603164263. The reversal of 81603164256 is 65246130618.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7208841 + ... + 7220151.

It is an arithmetic number, because the mean of its divisors is an integer number (2248192128).

Almost surely, 281603164256 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 81603164256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107913222144).

81603164256 is an abundant number, since it is smaller than the sum of its proper divisors (134223280032).

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

81603164256 is a wasteful number, since it uses less digits than its factorization.

81603164256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11884 (or 11876 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 81603164256 in words is "eighty-one billion, six hundred three million, one hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 337 446 669 674 892 1011 1338 1348 1784 2022 2676 2696 3568 4044 5352 5392 7136 8088 10704 10784 11311 16176 21408 22622 32352 33933 45244 67866 75151 90488 135732 150302 180976 225453 271464 300604 361952 450906 542928 601208 901812 1085856 1202416 1803624 2404832 2522353 3607248 3811807 5044706 7214496 7567059 7623614 10089412 11435421 15134118 15247228 20178824 22870842 30268236 30494456 40357648 45741684 60536472 60988912 80715296 91483368 121072944 121977824 182966736 242145888 365933472 850032961 1700065922 2550098883 3400131844 5100197766 6800263688 10200395532 13600527376 20400791064 27201054752 40801582128 81603164256