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86235056050 = 252111341294167
BaseRepresentation
bin101000001010000000…
…0101000011110110010
322020120212110201221211
41100110000220132302
52403102133243200
6103341004310334
76141661611403
oct1202400503662
9266525421854
1086235056050
1133632493a70
1214867b423aa
138193b102b0
144260c939aa
15239aa87aba
hex14140287b2

86235056050 has 96 divisors (see below), whose sum is σ = 193035394944. Its totient is φ = 28239936000.

The previous prime is 86235055987. The next prime is 86235056053. The reversal of 86235056050 is 5065053268.

It is a junction number, because it is equal to n+sod(n) for n = 86235055994 and 86235056012.

It is not an unprimeable number, because it can be changed into a prime (86235056053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146067 + ... + 440233.

It is an arithmetic number, because the mean of its divisors is an integer number (2010785364).

Almost surely, 286235056050 is an apocalyptic number.

86235056050 is an abundant number, since it is smaller than the sum of its proper divisors (106800338894).

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

86235056050 is a wasteful number, since it uses less digits than its factorization.

86235056050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294244 (or 294239 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 86235056050 in words is "eighty-six billion, two hundred thirty-five million, fifty-six thousand, fifty".

Divisors: 1 2 5 10 11 13 22 25 26 41 50 55 65 82 110 130 143 205 275 286 325 410 451 533 550 650 715 902 1025 1066 1430 2050 2255 2665 3575 4510 5330 5863 7150 11275 11726 13325 22550 26650 29315 58630 146575 293150 294167 588334 1470835 2941670 3235837 3824171 6471674 7354175 7648342 12060847 14708350 16179185 19120855 24121694 32358370 38241710 42065881 60304235 80895925 84131762 95604275 120608470 132669317 156791011 161791850 191208550 210329405 265338634 301521175 313582022 420658810 603042350 663346585 783955055 1051647025 1326693170 1567910110 1724701121 2103294050 3316732925 3449402242 3919775275 6633465850 7839550550 8623505605 17247011210 43117528025 86235056050