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134066947817360 = 245171747190129683
BaseRepresentation
bin11110011110111011100100…
…110011001111111110010000
3122120200200020002211111010002
4132132323210303033332100
5120033023102120123420
61153045301112025132
740145005642603565
oct3636734463177620
9576620202744102
10134066947817360
1139799522a19978
12130530a56921a8
1359a65c737301c
142516c36a0686c
1510775c7c14075
hex79eee4ccff90

134066947817360 has 160 divisors (see below), whose sum is σ = 330415044262272. Its totient is φ = 50415138201600.

The previous prime is 134066947817359. The next prime is 134066947817381. The reversal of 134066947817360 is 63718749660431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4516609079 + ... + 4516638761.

Almost surely, 2134066947817360 is an apocalyptic number.

134066947817360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134066947817360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165207522131136).

134066947817360 is an abundant number, since it is smaller than the sum of its proper divisors (196348096444912).

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

134066947817360 is a wasteful number, since it uses less digits than its factorization.

134066947817360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33361 (or 33355 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 65.

The spelling of 134066947817360 in words is "one hundred thirty-four trillion, sixty-six billion, nine hundred forty-seven million, eight hundred seventeen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1747 1901 3494 3802 6988 7604 8735 9505 13976 15208 17470 19010 27952 29683 29699 30416 32317 34940 38020 59366 59398 64634 69880 76040 118732 118796 129268 139760 148415 148495 152080 161585 237464 237592 258536 296830 296990 323170 474928 475184 504611 517072 593660 593980 646340 1009222 1187320 1187960 1292680 2018444 2374640 2375920 2523055 2585360 3321047 4036888 5046110 6642094 8073776 10092220 13284188 16605235 20184440 26568376 33210470 40368880 51856201 53136752 56427383 56457799 66420940 103712402 112854766 112915598 132841880 207424804 225709532 225831196 259281005 265683760 282136915 282288995 414849608 451419064 451662392 518562010 564273830 564577990 829699216 881555417 902838128 903324784 959265511 1037124020 1128547660 1129155980 1763110834 1918531022 2074248040 2257095320 2258311960 3526221668 3837062044 4148496080 4407777085 4514190640 4516623920 4796327555 7052443336 7674124088 8815554170 9592655110 14104886672 15348248176 17631108340 19185310220 35262216680 38370620440 70524433360 76741240880 98578638101 197157276202 394314552404 492893190505 788629104808 985786381010 1577258209616 1675836847717 1971572762020 3351673695434 3943145524040 6703347390868 7886291048080 8379184238585 13406694781736 16758368477170 26813389563472 33516736954340 67033473908680 134066947817360