Search a number
-
+
55228605788160 = 212355722343229
BaseRepresentation
bin11001000111010111010010…
…11011011111000000000000
321020112210200111101200100000
430203223221123133000000
524214331141040210120
6313243400553200000
714430064223341500
oct1443535133370000
9236483614350300
1055228605788160
1116663358184892
12623b810400000
1324a805c39847c
14d8d116273a00
1565b951d2e990
hex323ae96df000

55228605788160 has 3744 divisors, whose sum is σ = 247660171799040. Its totient is φ = 11742513463296.

The previous prime is 55228605788141. The next prime is 55228605788171. The reversal of 55228605788160 is 6188750682255.

It is a happy number.

55228605788160 is a `hidden beast` number, since 5 + 5 + 2 + 2 + 8 + 605 + 7 + 8 + 8 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 241172950926 + ... + 241172951154.

It is an arithmetic number, because the mean of its divisors is an integer number (66148550160).

Almost surely, 255228605788160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55228605788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123830085899520).

55228605788160 is an abundant number, since it is smaller than the sum of its proper divisors (192431566010880).

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

55228605788160 is a wasteful number, since it uses less digits than its factorization.

55228605788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 55228605788160 in words is "fifty-five trillion, two hundred twenty-eight billion, six hundred five million, seven hundred eighty-eight thousand, one hundred sixty".