Search a number
-
+
136652685120 = 2633574155109
BaseRepresentation
bin111111101000100100…
…0100111111101000000
3111001201120010122222000
41333101020213331000
54214331041410440
6142435525144000
712605244441540
oct1772110477500
9431646118860
10136652685120
1152a54972a06
122259885b000
13cb6a2547c3
146884c57320
15384be24730
hex1fd1227f40

136652685120 has 448 divisors, whose sum is σ = 564396940800. Its totient is φ = 30472519680.

The previous prime is 136652685107. The next prime is 136652685151. The reversal of 136652685120 is 21586256631.

136652685120 is a `hidden beast` number, since 1 + 36 + 6 + 526 + 85 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2452126 + ... + 2507234.

It is an arithmetic number, because the mean of its divisors is an integer number (1259814600).

Almost surely, 2136652685120 is an apocalyptic number.

136652685120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136652685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282198470400).

136652685120 is an abundant number, since it is smaller than the sum of its proper divisors (427744255680).

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

136652685120 is a wasteful number, since it uses less digits than its factorization.

136652685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55183 (or 55167 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 136652685120 in words is "one hundred thirty-six billion, six hundred fifty-two million, six hundred eighty-five thousand, one hundred twenty".