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118800442368 = 210341432297
BaseRepresentation
bin110111010100100001…
…1101110010000000000
3102100122101222202210000
41232221003232100000
53421300403123433
6130324241440000
711403662045556
oct1565103562000
9370571882700
10118800442368
1146423830783
121b036040000
13b28381935a
145a6dccdbd6
153154a06113
hex1ba90ee400

118800442368 has 110 divisors (see below), whose sum is σ = 354761594726. Its totient is φ = 39600119808.

The previous prime is 118800442361. The next prime is 118800442381. The reversal of 118800442368 is 863244008811.

It can be written as a sum of positive squares in only one way, i.e., 104789458944 + 14010983424 = 323712^2 + 118368^2 .

It is a super-2 number, since 2×1188004423682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118800442361) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 633205 + ... + 799092.

Almost surely, 2118800442368 is an apocalyptic number.

118800442368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

118800442368 is an abundant number, since it is smaller than the sum of its proper divisors (235961152358).

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

118800442368 is an equidigital number, since it uses as much as digits as its factorization.

118800442368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432329 (or 1432302 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 118800442368 in words is "one hundred eighteen billion, eight hundred million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 82944 1432297 2864594 4296891 5729188 8593782 11458376 12890673 17187564 22916752 25781346 34375128 38672019 45833504 51562692 68750256 77344038 91667008 103125384 116016057 137500512 154688076 183334016 206250768 232032114 275001024 309376152 366668032 412501536 464064228 550002048 618752304 733336064 825003072 928128456 1100004096 1237504608 1466672128 1650006144 1856256912 2200008192 2475009216 3300012288 3712513824 4400016384 4950018432 6600024576 7425027648 9900036864 13200049152 14850055296 19800073728 29700110592 39600147456 59400221184 118800442368