Search a number
-
+
27137007111060 = 223257111957937021
BaseRepresentation
bin1100010101110010100111…
…01010110100101110010100
310120002021100200110211222200
412022321103222310232110
512024103042310023220
6133414322521324500
75500404222353520
oct612712352645624
9116067320424880
1027137007111060
118712816065790
123063400936730
13121b016409742
1469b61c40ad80
15320d68669890
hex18ae53ab4b94

27137007111060 has 144 divisors (see below), whose sum is σ = 102627226945152. Its totient is φ = 5638858617600.

The previous prime is 27137007111029. The next prime is 27137007111077. The reversal of 27137007111060 is 6011170073172.

27137007111060 is a `hidden beast` number, since 271 + 370 + 0 + 7 + 1 + 1 + 10 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978954651 + ... + 978982370.

It is an arithmetic number, because the mean of its divisors is an integer number (712689076008).

Almost surely, 227137007111060 is an apocalyptic number.

27137007111060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27137007111060 is an abundant number, since it is smaller than the sum of its proper divisors (75490219834092).

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

27137007111060 is a wasteful number, since it uses less digits than its factorization.

27137007111060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957937054 (or 1957937049 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 27137007111060 in words is "twenty-seven trillion, one hundred thirty-seven billion, seven million, one hundred eleven thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 1957937021 3915874042 5873811063 7831748084 9789685105 11747622126 13705559147 17621433189 19579370210 21537307231 23495244252 27411118294 29369055315 35242866378 39158740420 41116677441 43074614462 54822236588 58738110630 64611921693 68527795735 70485732756 82233354882 86149228924 88107165945 107686536155 117476221260 123350032323 129223843386 137055591470 150761150617 164466709764 176214331890 193835765079 205583387205 215373072310 246700064646 258447686772 274111182940 301522301234 323059608465 352428663780 387671530158 411166774410 430746144620 452283451851 493400129292 603044602468 616750161615 646119216930 753805753085 775343060316 822333548820 904566903702 969178825395 1233500323230 1292238433860 1356850355553 1507611506170 1809133807404 1938357650790 2261417259255 2467000646460 2713700711106 3015223012340 3876715301580 4522834518510 5427401422212 6784251777765 9045669037020 13568503555530 27137007111060