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116656404946944 = 213310163467063
BaseRepresentation
bin11010100001100100101111…
…100100111110000000000000
3120022001020120102210120120120
4122201210233210332000000
5110242244304131300234
61052035113530540240
733400101315154362
oct3241445744760000
9508036512716516
10116656404946944
1134196781403675
1211100961b97680
135012861c7b3b5
1420b42b3204d32
15d7477a335049
hex6a192f93e000

116656404946944 has 112 divisors (see below), whose sum is σ = 311096033119872. Its totient is φ = 38881558888448.

The previous prime is 116656404946937. The next prime is 116656404946979. The reversal of 116656404946944 is 449649404656611.

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 7 ways as a sum of consecutive naturals, for example, 249532357 + ... + 249999419.

It is an arithmetic number, because the mean of its divisors is an integer number (2777643152856).

Almost surely, 2116656404946944 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 116656404946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155548016559936).

116656404946944 is an abundant number, since it is smaller than the sum of its proper divisors (194439628172928).

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

116656404946944 is an equidigital number, since it uses as much as digits as its factorization.

116656404946944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477255 (or 477231 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 69.

The spelling of 116656404946944 in words is "one hundred sixteen trillion, six hundred fifty-six billion, four hundred four million, nine hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 10163 12288 20326 24576 30489 40652 60978 81304 121956 162608 243912 325216 467063 487824 650432 934126 975648 1300864 1401189 1868252 1951296 2601728 2802378 3736504 3902592 5203456 5604756 7473008 7805184 10406912 11209512 14946016 15610368 20813824 22419024 29892032 31220736 41627648 44838048 59784064 62441472 83255296 89676096 119568128 124882944 179352192 239136256 249765888 358704384 478272512 717408768 956545024 1434817536 1913090048 2869635072 3826180096 4746761269 5739270144 9493522538 11478540288 14240283807 18987045076 28480567614 37974090152 56961135228 75948180304 113922270456 151896360608 227844540912 303792721216 455689081824 607585442432 911378163648 1215170884864 1822756327296 2430341769728 3645512654592 4860683539456 7291025309184 9721367078912 14582050618368 19442734157824 29164101236736 38885468315648 58328202473472 116656404946944