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86338090081 = 59149151193337
BaseRepresentation
bin101000001101000100…
…1101011010001100001
322020212001100102002001
41100122021223101201
52403310022340311
6103355124524001
76144352441225
oct1203211532141
9266761312061
1086338090081
1133685667a61
1214896550601
1381ac276a89
144270834785
1523a4b3b4c1
hex141a26b461

86338090081 has 32 divisors (see below), whose sum is σ = 89702496000. Its totient is φ = 83065651200.

The previous prime is 86338090079. The next prime is 86338090159. The reversal of 86338090081 is 18009083368.

It is a cyclic number.

It is not a de Polignac number, because 86338090081 - 21 = 86338090079 is a prime.

It is a super-2 number, since 2×863380900812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86338090981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256195945 + ... + 256196281.

It is an arithmetic number, because the mean of its divisors is an integer number (2803203000).

Almost surely, 286338090081 is an apocalyptic number.

It is an amenable number.

86338090081 is a deficient number, since it is larger than the sum of its proper divisors (3364405919).

86338090081 is a wasteful number, since it uses less digits than its factorization.

86338090081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889.

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 86338090081 in words is "eighty-six billion, three hundred thirty-eight million, ninety thousand, eighty-one".

Divisors: 1 59 149 151 193 337 8791 8909 11387 19883 22499 28757 29143 50213 50887 65041 1327441 1696663 1719437 2962567 3002333 3837419 4342307 7582163 9691109 9821191 256196113 447347617 571775431 579450269 1463357459 86338090081