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128766016 = 264494481
BaseRepresentation
bin1111010110011…
…01000001000000
322222021222202201
413223031001000
5230431003031
620435522544
73122331061
oct753150100
9288258681
10128766016
11667598a5
1237159454
13208a5c12
141315c568
15b487d61
hex7acd040

128766016 has 28 divisors (see below), whose sum is σ = 256146300. Its totient is φ = 64225280.

The previous prime is 128765999. The next prime is 128766019. The reversal of 128766016 is 610667821.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 38440000 = 9504^2 + 6200^2 .

It is not an unprimeable number, because it can be changed into a prime (128766019) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 26496 + ... + 30976.

Almost surely, 2128766016 is an apocalyptic number.

128766016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128766016 is the 6066-th centered heptagonal number.

It is an amenable number.

128766016 is a deficient number, since it is larger than the sum of its proper divisors (127380284).

128766016 is an equidigital number, since it uses as much as digits as its factorization.

128766016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 128766016 is about 11347.5114452465. The cubic root of 128766016 is about 504.9717541304.

The spelling of 128766016 in words is "one hundred twenty-eight million, seven hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 449 898 1796 3592 4481 7184 8962 14368 17924 28736 35848 71696 143392 286784 2011969 4023938 8047876 16095752 32191504 64383008 128766016