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81142117168 = 24747910091499
BaseRepresentation
bin100101110010001110…
…0100111001100110000
321202102221012122012211
41023210130213030300
52312134340222133
6101135353101504
75601530421160
oct1134434471460
9252387178184
1081142117168
1131459678672
12138863b7894
137861940ba8
143cda71c5a0
15219d8c3bcd
hex12e4727330

81142117168 has 80 divisors (see below), whose sum is σ = 180345600000. Its totient is φ = 34645072896.

The previous prime is 81142117157. The next prime is 81142117169. The reversal of 81142117168 is 86171124118.

It is a self number, because there is not a number n which added to its sum of digits gives 81142117168.

It is not an unprimeable number, because it can be changed into a prime (81142117169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54130083 + ... + 54131581.

It is an arithmetic number, because the mean of its divisors is an integer number (2254320000).

Almost surely, 281142117168 is an apocalyptic number.

It is an amenable number.

81142117168 is an abundant number, since it is smaller than the sum of its proper divisors (99203482832).

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

81142117168 is a wasteful number, since it uses less digits than its factorization.

81142117168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2996 counting only the distinct ones).

The product of its digits is 21504, while the sum is 40.

The spelling of 81142117168 in words is "eighty-one billion, one hundred forty-two million, one hundred seventeen thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 479 958 1009 1499 1916 2018 2998 3353 3832 4036 5996 6706 7063 7664 8072 10493 11992 13412 14126 16144 20986 23984 26824 28252 41972 53648 56504 83944 113008 167888 483311 718021 966622 1436042 1512491 1933244 2872084 3024982 3383177 3866488 5026147 5744168 6049964 6766354 7732976 10052294 10587437 11488336 12099928 13532708 20104588 21174874 24199856 27065416 40209176 42349748 54130832 80418352 84699496 169398992 724483189 1448966378 2897932756 5071382323 5795865512 10142764646 11591731024 20285529292 40571058584 81142117168