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86217226914 = 2371333725253
BaseRepresentation
bin101000001001011110…
…0100111101010100010
322020112121220220222110
41100102330213222202
52403033102230124
6103335130220150
76141354223410
oct1202274475242
9266477826873
1086217226914
1133623416745
1214861b84656
13819020a000
14425c7722b0
152399215029
hex1412f27aa2

86217226914 has 128 divisors (see below), whose sum is σ = 219261288960. Its totient is φ = 22123176192.

The previous prime is 86217226891. The next prime is 86217226967. The reversal of 86217226914 is 41962271268.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3401512 + ... + 3426764.

It is an arithmetic number, because the mean of its divisors is an integer number (1712978820).

Almost surely, 286217226914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86217226914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109630644480).

86217226914 is an abundant number, since it is smaller than the sum of its proper divisors (133044062046).

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

86217226914 is a wasteful number, since it uses less digits than its factorization.

86217226914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25341 (or 25315 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 86217226914 in words is "eighty-six billion, two hundred seventeen million, two hundred twenty-six thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 169 182 222 259 273 338 481 507 518 546 777 962 1014 1183 1443 1554 2197 2366 2886 3367 3549 4394 6253 6591 6734 7098 10101 12506 13182 15379 18759 20202 25253 30758 37518 43771 46137 50506 75759 81289 87542 92274 131313 151518 162578 176771 243867 262626 328289 353542 487734 530313 569023 656578 934361 984867 1060626 1138046 1707069 1868722 1969734 2298023 2803083 3414138 4267757 4596046 5606166 6540527 6894069 8535514 12146693 12803271 13081054 13788138 19621581 24293386 25606542 29874299 36440079 39243162 55480841 59748598 72880158 85026851 89622897 110961682 157907009 166442523 170053702 179245794 255080553 315814018 332885046 388365887 473721027 510161106 776731774 947442054 1105349063 1165097661 2052791117 2210698126 2330195322 3316047189 4105582234 6158373351 6632094378 12316746702 14369537819 28739075638 43108613457 86217226914