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128720025027 = 32112221585413
BaseRepresentation
bin111011111100001001…
…1111011010111000011
3110022020201102210001100
41313320103323113003
54102104311300102
6135044432505443
712204542105616
oct1677023732703
9408221383040
10128720025027
114a654109a80
1220b440ab283
13c1a495b4a9
1463314bc17d
1535357cba1c
hex1df84fb5c3

128720025027 has 24 divisors (see below), whose sum is σ = 202923225648. Its totient is φ = 77976878400.

The previous prime is 128720025017. The next prime is 128720025079. The reversal of 128720025027 is 720520027821.

128720025027 is a `hidden beast` number, since 128 + 7 + 20 + 0 + 2 + 502 + 7 = 666.

It is not a de Polignac number, because 128720025027 - 26 = 128720024963 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 128720024982 and 128720025000.

It is not an unprimeable number, because it can be changed into a prime (128720025017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72828 + ... + 512585.

It is an arithmetic number, because the mean of its divisors is an integer number (8455134402).

Almost surely, 2128720025027 is an apocalyptic number.

128720025027 is a deficient number, since it is larger than the sum of its proper divisors (74203200621).

128720025027 is a wasteful number, since it uses less digits than its factorization.

128720025027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587651 (or 587648 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 128720025027 in words is "one hundred twenty-eight billion, seven hundred twenty million, twenty-five thousand, twenty-seven".

Divisors: 1 3 9 11 33 99 2221 6663 19989 24431 73293 219879 585413 1756239 5268717 6439543 19318629 57955887 1300202273 3900606819 11701820457 14302225003 42906675009 128720025027