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86606467122 = 237171277331303
BaseRepresentation
bin101000010101000100…
…1011101000000110010
322021112202100101011110
41100222021131000302
52404332223421442
6103441513054150
76154121552460
oct1205211350062
9267482311143
1086606467122
113380310266a
12149503b7356
138222a51c66
144298335830
1523bd4a069c
hex142a25d032

86606467122 has 128 divisors (see below), whose sum is σ = 211703169024. Its totient is φ = 23056524288.

The previous prime is 86606467111. The next prime is 86606467127. The reversal of 86606467122 is 22176460668.

It is not an unprimeable number, because it can be changed into a prime (86606467127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66466323 + ... + 66467625.

It is an arithmetic number, because the mean of its divisors is an integer number (1653931008).

Almost surely, 286606467122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86606467122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105851584512).

86606467122 is an abundant number, since it is smaller than the sum of its proper divisors (125096701902).

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

86606467122 is a wasteful number, since it uses less digits than its factorization.

86606467122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192.

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 86606467122 in words is "eighty-six billion, six hundred six million, four hundred sixty-seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 127 238 254 357 381 714 733 762 889 1303 1466 1778 2159 2199 2606 2667 3909 4318 4398 5131 5334 6477 7818 9121 10262 12461 12954 15113 15393 18242 22151 24922 27363 30226 30786 37383 44302 45339 54726 66453 74766 87227 90678 93091 132906 155057 165481 174454 186182 261681 279273 310114 330962 465171 496443 523362 558546 651637 930342 955099 992886 1158367 1303274 1582547 1910198 1954911 2316734 2813177 2865297 3165094 3475101 3909822 4747641 5626354 5730594 6685693 6950202 8439531 9495282 11077829 13371386 16236683 16879062 19692239 20057079 22155658 32473366 33233487 39384478 40114158 48710049 59076717 66466974 97420098 113656781 118153434 121297573 227313562 242595146 340970343 363892719 681940686 727785438 849083011 1698166022 2062058741 2547249033 4124117482 5094498066 6186176223 12372352446 14434411187 28868822374 43303233561 86606467122