Search a number
-
+
53608164480 = 273251317231831
BaseRepresentation
bin110001111011010010…
…111010110010000000
312010101001012220210100
4301323102322302000
51334242142230410
640343253002400
73605313610503
oct617322726200
9163331186710
1053608164480
112080a458472
12a481323400
13509444b0b0
142847a0713a
1515db51a8c0
hexc7b4bac80

53608164480 has 768 divisors, whose sum is σ = 220379927040. Its totient is φ = 11873157120.

The previous prime is 53608164473. The next prime is 53608164523. The reversal of 53608164480 is 8446180635.

53608164480 is a `hidden beast` number, since 5 + 3 + 6 + 0 + 8 + 164 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29277165 + ... + 29278995.

It is an arithmetic number, because the mean of its divisors is an integer number (286953030).

Almost surely, 253608164480 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 53608164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110189963520).

53608164480 is an abundant number, since it is smaller than the sum of its proper divisors (166771762560).

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

53608164480 is a wasteful number, since it uses less digits than its factorization.

53608164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 53608164480 in words is "fifty-three billion, six hundred eight million, one hundred sixty-four thousand, four hundred eighty".