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86656591056 = 24372343126017
BaseRepresentation
bin101000010110100100…
…0101010010011010000
322021200020122221021110
41100231020222103100
52404433041403211
6103450503253320
76155300604420
oct1205510522320
9267606587243
1086656591056
1133829428502
121496514a240
1382302518a9
1442a0c62480
1523c2aa1ea6
hex142d22a4d0

86656591056 has 160 divisors (see below), whose sum is σ = 267596587008. Its totient is φ = 23626690560.

The previous prime is 86656591001. The next prime is 86656591069. The reversal of 86656591056 is 65019565668.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 86656590987 and 86656591005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3317760 + ... + 3343776.

Almost surely, 286656591056 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 86656591056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133798293504).

86656591056 is an abundant number, since it is smaller than the sum of its proper divisors (180939995952).

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

86656591056 is a wasteful number, since it uses less digits than its factorization.

86656591056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26489 (or 26483 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 57.

The spelling of 86656591056 in words is "eighty-six billion, six hundred fifty-six million, five hundred ninety-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 431 483 552 644 862 966 1104 1288 1293 1724 1932 2576 2586 3017 3448 3864 5172 6034 6896 7728 9051 9913 10344 12068 18102 19826 20688 24136 26017 29739 36204 39652 48272 52034 59478 69391 72408 78051 79304 104068 118956 138782 144816 156102 158608 182119 208136 208173 237912 277564 312204 364238 416272 416346 475824 546357 555128 598391 624408 728476 832692 1092714 1110256 1196782 1248816 1456952 1665384 1795173 2185428 2393564 2913904 3330768 3590346 4188737 4370856 4787128 7180692 8377474 8741712 9574256 11213327 12566211 14361384 16754948 22426654 25132422 28722768 33509896 33639981 44853308 50264844 67019792 67279962 78493289 89706616 100529688 134559924 156986578 179413232 201059376 235479867 257906521 269119848 313973156 470959734 515813042 538239696 627946312 773719563 941919468 1031626084 1255892624 1547439126 1805345647 1883838936 2063252168 3094878252 3610691294 3767677872 4126504336 5416036941 6189756504 7221382588 10832073882 12379513008 14442765176 21664147764 28885530352 43328295528 86656591056