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5453800128 = 263271971191
BaseRepresentation
bin1010001010001001…
…00110001011000000
3112002002021202022100
411011010212023000
542132133101003
62301101510400
7252102351630
oct50504461300
915062252270
105453800128
112349589837
121082572400
1368bb8918a
1439a46c6c0
1521dbe5ba3
hex1451262c0

5453800128 has 168 divisors, whose sum is σ = 18806078720. Its totient is φ = 1476195840.

The previous prime is 5453800091. The next prime is 5453800133. The reversal of 5453800128 is 8210083545.

It is a happy number.

5453800128 is a `hidden beast` number, since 5 + 453 + 80 + 0 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 5453800092 and 5453800101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41013 + ... + 112203.

Almost surely, 25453800128 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 5453800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9403039360).

5453800128 is an abundant number, since it is smaller than the sum of its proper divisors (13352278592).

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

5453800128 is a wasteful number, since it uses less digits than its factorization.

5453800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71235 (or 71222 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5453800128 is about 73849.8485306504. The cubic root of 5453800128 is about 1760.2177898531.

The spelling of 5453800128 in words is "five billion, four hundred fifty-three million, eight hundred thousand, one hundred twenty-eight".