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81816010584 = 23371144272733
BaseRepresentation
bin100110000110010011…
…1010011111101011000
321211011220020222012020
41030030213103331120
52320024344314314
6101330305014440
75624322421050
oct1141447237530
9254156228166
1081816010584
1131775006780
1213a34024420
13793b43c4a9
143d6201c560
1521dcb3ada9
hex130c9d3f58

81816010584 has 64 divisors (see below), whose sum is σ = 255010947840. Its totient is φ = 21250911360.

The previous prime is 81816010571. The next prime is 81816010607. The reversal of 81816010584 is 48501061818.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 22134519 + ... + 22138214.

It is an arithmetic number, because the mean of its divisors is an integer number (3984546060).

Almost surely, 281816010584 is an apocalyptic number.

81816010584 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

81816010584 is an abundant number, since it is smaller than the sum of its proper divisors (173194937256).

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

81816010584 is a wasteful number, since it uses less digits than its factorization.

81816010584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44272760 (or 44272756 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The spelling of 81816010584 in words is "eighty-one billion, eight hundred sixteen million, ten thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 44272733 88545466 132818199 177090932 265636398 309909131 354181864 487000063 531272796 619818262 929727393 974000126 1062545592 1239636524 1461000189 1859454786 1948000252 2479273048 2922000378 3409000441 3718909572 3896000504 5844000756 6818000882 7437819144 10227001323 11688001512 13636001764 20454002646 27272003528 40908005292 81816010584