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86066575308 = 223271789225733
BaseRepresentation
bin101000000100111110…
…1111011011111001100
322020011010110000211100
41100021331323133030
52402231020402213
6103312145223100
76134544551040
oct1201175733714
9266133400740
1086066575308
113355637998a
121481b631a90
138167c4064c
144246758020
15238ada7773
hex1409f7b7cc

86066575308 has 144 divisors (see below), whose sum is σ = 266221650240. Its totient is φ = 22883807232.

The previous prime is 86066575303. The next prime is 86066575313. The reversal of 86066575308 is 80357566068.

86066575308 is a `hidden beast` number, since 8 + 6 + 0 + 66 + 575 + 3 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (86066575303) and next prime (86066575313).

It is not an unprimeable number, because it can be changed into a prime (86066575303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268410 + ... + 494142.

It is an arithmetic number, because the mean of its divisors is an integer number (1848761460).

Almost surely, 286066575308 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 86066575308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133110825120).

86066575308 is an abundant number, since it is smaller than the sum of its proper divisors (180155074932).

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

86066575308 is a wasteful number, since it uses less digits than its factorization.

86066575308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225856 (or 225851 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 86066575308 in words is "eighty-six billion, sixty-six million, five hundred seventy-five thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 89 102 119 126 153 178 204 238 252 267 306 356 357 476 534 612 623 714 801 1068 1071 1246 1428 1513 1602 1869 2142 2492 3026 3204 3738 4284 4539 5607 6052 7476 9078 10591 11214 13617 18156 21182 22428 27234 31773 42364 54468 63546 95319 127092 190638 225733 381276 451466 677199 902932 1354398 1580131 2031597 2708796 3160262 3837461 4063194 4740393 6320524 7674922 8126388 9480786 11512383 14221179 15349844 18961572 20090237 23024766 26862227 28442358 34537149 40180474 46049532 53724454 56884716 60270711 69074298 80360948 80586681 107448908 120541422 138148596 140631659 161173362 180812133 241082844 241760043 281263318 322346724 341534029 361624266 421894977 483520086 562526636 683068058 723248532 843789954 967040172 1024602087 1265684931 1366136116 1687579908 2049204174 2390738203 2531369862 3073806261 4098408348 4781476406 5062739724 6147612522 7172214609 9562952812 12295225044 14344429218 21516643827 28688858436 43033287654 86066575308