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128847728448 = 263217195373179
BaseRepresentation
bin111011111111111101…
…1000100111101000000
3110022120121201210012200
41313333323010331000
54102340004302243
6135105233553200
712210652423035
oct1677773047500
9408517653180
10128847728448
114a70a20249a
1220b7aa15800
13c1c525184a
14634444138c
153541b04ad3
hex1dffec4f40

128847728448 has 672 divisors, whose sum is σ = 427511260800. Its totient is φ = 36851023872.

The previous prime is 128847728419. The next prime is 128847728479. The reversal of 128847728448 is 844827748821.

128847728448 is a `hidden beast` number, since 1 + 2 + 88 + 47 + 72 + 8 + 448 = 666.

128847728448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 719819623 + ... + 719819801.

Almost surely, 2128847728448 is an apocalyptic number.

128847728448 is a gapful number since it is divisible by the number (18) 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 128847728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213755630400).

128847728448 is an abundant number, since it is smaller than the sum of its proper divisors (298663532352).

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

128847728448 is a wasteful number, since it uses less digits than its factorization.

128847728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its digits is 51380224, while the sum is 63.

The spelling of 128847728448 in words is "one hundred twenty-eight billion, eight hundred forty-seven million, seven hundred twenty-eight thousand, four hundred forty-eight".