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136241361136116 = 22323784482253781
BaseRepresentation
bin11110111110100100101001…
…111011110010100111110100
3122212101112202201002221101200
4132332210221323302213310
5120324134301422323431
61201432230043452500
740461053636056425
oct3676445173624764
9585345681087350
10136241361136116
113a4577006135a5
12133445a4227130
135b03674ca8792
14259018d31364c
1510b3e3cc06ee6
hex7be929ef29f4

136241361136116 has 18 divisors (see below), whose sum is σ = 344387885094162. Its totient is φ = 45413787045360.

The previous prime is 136241361136109. The next prime is 136241361136183. The reversal of 136241361136116 is 611631163142631.

136241361136116 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 4 + 13 + 6 + 1 + 13 + 611 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133002246675600 + 3239114460516 = 11532660^2 + 1799754^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1892241126855 + ... + 1892241126926.

It is an arithmetic number, because the mean of its divisors is an integer number (19132660283009).

Almost surely, 2136241361136116 is an apocalyptic number.

It is an amenable number.

136241361136116 is an abundant number, since it is smaller than the sum of its proper divisors (208146523958046).

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

136241361136116 is a wasteful number, since it uses less digits than its factorization.

136241361136116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784482253791 (or 3784482253786 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 136241361136116 in words is "one hundred thirty-six trillion, two hundred forty-one billion, three hundred sixty-one million, one hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3784482253781 7568964507562 11353446761343 15137929015124 22706893522686 34060340284029 45413787045372 68120680568058 136241361136116