Search a number
-
+
86110695342 = 232741101165037
BaseRepresentation
bin101000000110010011…
…0001110111110101110
322020021012110120010200
41100030212032332232
52402323314222332
6103320403014330
76135621555630
oct1201446167656
9266235416120
1086110695342
1133579273a21
121483236a3a6
13817411a589
14424c560a50
15238ebc017c
hex140c98efae

86110695342 has 96 divisors (see below), whose sum is σ = 220591111104. Its totient is φ = 23765184000.

The previous prime is 86110695269. The next prime is 86110695343. The reversal of 86110695342 is 24359601168.

86110695342 is a `hidden beast` number, since 8 + 6 + 1 + 106 + 9 + 534 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86110695343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439248 + ... + 604284.

It is an arithmetic number, because the mean of its divisors is an integer number (2297824074).

Almost surely, 286110695342 is an apocalyptic number.

86110695342 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 86110695342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110295555552).

86110695342 is an abundant number, since it is smaller than the sum of its proper divisors (134480415762).

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

86110695342 is a wasteful number, since it uses less digits than its factorization.

86110695342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165194 (or 165191 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 86110695342 in words is "eighty-six billion, one hundred ten million, six hundred ninety-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 101 123 126 202 246 287 303 369 574 606 707 738 861 909 1414 1722 1818 2121 2583 4141 4242 5166 6363 8282 12423 12726 24846 28987 37269 57974 74538 86961 165037 173922 260883 330074 495111 521766 990222 1155259 1485333 2310518 2970666 3465777 6766517 6931554 10397331 13533034 16668737 20299551 20794662 33337474 40599102 47365619 50006211 60898653 94731238 100012422 116681159 121797306 142096857 150018633 233362318 284193714 300037266 350043477 426290571 683418217 700086954 852581142 1050130431 1366836434 2050254651 2100260862 4100509302 4783927519 6150763953 9567855038 12301527906 14351782557 28703565114 43055347671 86110695342