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54430541100 = 2232521316328541
BaseRepresentation
bin110010101100010100…
…000010010100101100
312012111100122222102200
4302230110002110230
51342433204303400
641001031221500
73634560652125
oct625424022454
9165440588380
1054430541100
11210a1692171
12a670817890
135195937090
1428c4d1904c
151638812b00
hexcac50252c

54430541100 has 216 divisors, whose sum is σ = 184866990672. Its totient is φ = 13315622400.

The previous prime is 54430541071. The next prime is 54430541131. The reversal of 54430541100 is 114503445.

It is a happy number.

54430541100 is a `hidden beast` number, since 544 + 3 + 0 + 5 + 4 + 110 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1892830 + ... + 1921370.

Almost surely, 254430541100 is an apocalyptic number.

54430541100 is a gapful number since it is divisible by the number (50) 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 54430541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92433495336).

54430541100 is an abundant number, since it is smaller than the sum of its proper divisors (130436449572).

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

54430541100 is a wasteful number, since it uses less digits than its factorization.

54430541100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28737 (or 28727 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 54430541100 in words is "fifty-four billion, four hundred thirty million, five hundred forty-one thousand, one hundred".