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54350491104 = 253372131737157
BaseRepresentation
bin110010100111100010…
…101010110111100000
312012021210001000111000
4302213202222313200
51342302211203404
640545051352000
73632566360200
oct624742526740
9165253030430
1054350491104
1121060487448
12a649a52600
13518218a010
1428b843c400
15163179e339
hexca78aade0

54350491104 has 1152 divisors, whose sum is σ = 217328469120. Its totient is φ = 13042778112.

The previous prime is 54350491099. The next prime is 54350491123. The reversal of 54350491104 is 40119405345.

It is a happy number.

54350491104 is a `hidden beast` number, since 5 + 43 + 504 + 9 + 1 + 104 = 666.

54350491104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346181394 + ... + 346181550.

It is an arithmetic number, because the mean of its divisors is an integer number (188653185).

Almost surely, 254350491104 is an apocalyptic number.

54350491104 is a gapful number since it is divisible by the number (54) 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 54350491104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108664234560).

54350491104 is an abundant number, since it is smaller than the sum of its proper divisors (162977978016).

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

54350491104 is a wasteful number, since it uses less digits than its factorization.

54350491104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 54350491104 its reverse (40119405345), we get a palindrome (94469896449).

The spelling of 54350491104 in words is "fifty-four billion, three hundred fifty million, four hundred ninety-one thousand, one hundred four".