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83492508060 = 2232513198717957
BaseRepresentation
bin100110111000010001…
…0101001000110011100
321222111201212212101100
41031300202221012130
52331443040224220
6102204514113100
76014010415563
oct1156042510634
9258451785340
1083492508060
1132455387085
121422157b790
137b4787a330
144080946bda
152289dead90
hex13708a919c

83492508060 has 144 divisors (see below), whose sum is σ = 272894652576. Its totient is φ = 20540514816.

The previous prime is 83492508059. The next prime is 83492508157. The reversal of 83492508060 is 6080529438.

83492508060 is a `hidden beast` number, since 83 + 4 + 9 + 2 + 508 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 83492507997 and 83492508015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4640602 + ... + 4658558.

It is an arithmetic number, because the mean of its divisors is an integer number (1895101754).

Almost surely, 283492508060 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 83492508060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136447326288).

83492508060 is an abundant number, since it is smaller than the sum of its proper divisors (189402144516).

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

83492508060 is a wasteful number, since it uses less digits than its factorization.

83492508060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19972 (or 19967 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 83492508060 in words is "eighty-three billion, four hundred ninety-two million, five hundred eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1987 2340 3974 5961 7948 9935 11922 17883 17957 19870 23844 25831 29805 35766 35914 39740 51662 53871 59610 71532 71828 77493 89415 89785 103324 107742 119220 129155 154986 161613 178830 179570 215484 232479 233441 258310 269355 309972 323226 357660 359140 387465 464958 466882 516620 538710 646452 700323 774930 808065 929916 933764 1077420 1162395 1167205 1400646 1549860 1616130 2100969 2324790 2334410 2801292 3232260 3501615 4201938 4649580 4668820 7003230 8403876 10504845 14006460 21009690 35680559 42019380 71361118 107041677 142722236 178402795 214083354 321125031 356805590 428166708 463847267 535208385 642250062 713611180 927694534 1070416770 1284500124 1391541801 1605625155 1855389068 2140833540 2319236335 2783083602 3211250310 4174625403 4638472670 5566167204 6422500620 6957709005 8349250806 9276945340 13915418010 16698501612 20873127015 27830836020 41746254030 83492508060