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84168044064 = 253213191183199
BaseRepresentation
bin100111001100011001…
…1100110111000100000
322001020211000122120100
41032120303212320200
52334334004402224
6102355525142400
76036522366366
oct1163063467040
9261224018510
1084168044064
11327717372a5
121438b85aa00
137c24802490
144106553636
1522c9389ac9
hex1398ce6e20

84168044064 has 144 divisors (see below), whose sum is σ = 271331424000. Its totient is φ = 24534793728.

The previous prime is 84168044027. The next prime is 84168044099. The reversal of 84168044064 is 46044086148.

84168044064 is a `hidden beast` number, since 84 + 168 + 0 + 4 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 520464 + ... + 662735.

It is an arithmetic number, because the mean of its divisors is an integer number (1884246000).

Almost surely, 284168044064 is an apocalyptic number.

It is an amenable number.

84168044064 is an abundant number, since it is smaller than the sum of its proper divisors (187163379936).

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

84168044064 is a wasteful number, since it uses less digits than its factorization.

84168044064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183247 (or 1183236 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 84168044064 in words is "eighty-four billion, one hundred sixty-eight million, forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 684 741 912 936 988 1248 1368 1482 1824 1872 1976 2223 2736 2964 3744 3952 4446 5472 5928 7904 8892 11856 17784 23712 35568 71136 1183199 2366398 3549597 4732796 7099194 9465592 10648791 14198388 15381587 18931184 21297582 22480781 28396776 30763174 37862368 42595164 44961562 46144761 56793552 61526348 67442343 85190328 89923124 92289522 113587104 123052696 134884686 138434283 170380656 179846248 184579044 202327029 246105392 269769372 276868566 292250153 340761312 359692496 369158088 404654058 492210784 539538744 553737132 584500306 719384992 738316176 809308116 876750459 1079077488 1107474264 1169000612 1476632352 1618616232 1753500918 2158154976 2214948528 2338001224 2630251377 3237232464 3507001836 4429897056 4676002448 5260502754 6474464928 7014003672 9352004896 10521005508 14028007344 21042011016 28056014688 42084022032 84168044064