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134613017373712 = 2419311091019128603
BaseRepresentation
bin11110100110111000001001…
…000101010010110000010000
3122122121212201122001010220111
4132212320021011102300100
5120120444424421424322
61154144211053451104
740232320026340513
oct3646701105226020
9578555648033814
10134613017373712
113998a072a53989
1213120aa31a0a94
135a15c50b839c7
14253543a550d7a
1510868d8106177
hex7a6e09152c10

134613017373712 has 160 divisors (see below), whose sum is σ = 286278676992000. Its totient is φ = 61080559004160.

The previous prime is 134613017373697. The next prime is 134613017373733. The reversal of 134613017373712 is 217373710316431.

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 31 ways as a sum of consecutive naturals, for example, 1046668803 + ... + 1046797405.

It is an arithmetic number, because the mean of its divisors is an integer number (1789241731200).

Almost surely, 2134613017373712 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 134613017373712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143139338496000).

134613017373712 is an abundant number, since it is smaller than the sum of its proper divisors (151665659618288).

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

134613017373712 is a wasteful number, since it uses less digits than its factorization.

134613017373712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129789 (or 129783 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 49.

The spelling of 134613017373712 in words is "one hundred thirty-four trillion, six hundred thirteen billion, seventeen million, three hundred seventy-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 31 38 62 76 109 124 152 218 248 304 436 496 589 872 1019 1178 1744 2038 2071 2356 3379 4076 4142 4712 6758 8152 8284 9424 13516 16304 16568 19361 27032 31589 33136 38722 54064 63178 64201 77444 111071 126356 128402 128603 154888 222142 252712 256804 257206 309776 444284 505424 513608 514412 600191 888568 1027216 1028824 1200382 1777136 2057648 2110349 2400764 2443457 3443201 3986693 4220698 4801528 4886914 6886402 7973386 8441396 9603056 9773828 13772804 14017727 15946772 16882792 19547656 27545608 28035454 31893544 33765584 39095312 55091216 56070908 63787088 65420819 75747167 112141816 130841638 131046457 151494334 224283632 261683276 262092914 266336813 302988668 434549537 523366552 524185828 532673626 605977336 869099074 1046733104 1048371656 1065347252 1211954672 1738198148 2096743312 2130694504 2489882683 3476396296 4062440167 4261389008 4979765366 6952792592 8124880334 8256441203 9959530732 14284063813 16249760668 16512882406 19919061464 28568127626 32499521336 33025764812 39838122928 57136255252 64999042672 66051529624 77186363173 114272510504 132103059248 154372726346 228545021008 271397212447 308745452692 442805978203 542794424894 617490905384 885611956406 1085588849788 1234981810768 1771223912812 2171177699576 3542447825624 4342355399152 7084895651248 8413313585857 16826627171714 33653254343428 67306508686856 134613017373712