Search a number
-
+
54650623680 = 2632582323057
BaseRepresentation
bin110010111001011011…
…100101011011000000
312020001200210022222100
4302321123211123000
51343411024424210
641034532310400
73643202431242
oct627133453300
9166050708870
1054650623680
11211a49414a4
12a712472400
1351cc403263
142906248092
15164ccd75c0
hexcb96e56c0

54650623680 has 168 divisors, whose sum is σ = 188211939552. Its totient is φ = 14555160576.

The previous prime is 54650623613. The next prime is 54650623733. The reversal of 54650623680 is 8632605645.

54650623680 is a `hidden beast` number, since 5 + 46 + 506 + 23 + 6 + 80 = 666.

54650623680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×546506236803 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2358712 + ... + 2381768.

It is an arithmetic number, because the mean of its divisors is an integer number (1120309164).

Almost surely, 254650623680 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 54650623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94105969776).

54650623680 is an abundant number, since it is smaller than the sum of its proper divisors (133561315872).

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

54650623680 is a wasteful number, since it uses less digits than its factorization.

54650623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23903 (or 23890 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 54650623680 in words is "fifty-four billion, six hundred fifty million, six hundred twenty-three thousand, six hundred eighty".