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428601016881 = 32104945397841
BaseRepresentation
bin1100011110010101001…
…11001000001000110001
31111222021221102120022100
412033022213020020301
524010233330020011
6524521355131013
742652063350612
oct6171247101061
91458257376270
10428601016881
11155850111734
126b095743a69
1331555c1c77b
1416a5c8c1c09
15b2377cdd56
hex63ca9c8231

428601016881 has 12 divisors (see below), whose sum is σ = 619680543300. Its totient is φ = 285461617920.

The previous prime is 428601016871. The next prime is 428601016897. The reversal of 428601016881 is 188610106824.

428601016881 is a `hidden beast` number, since 4 + 28 + 601 + 0 + 16 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 375267733281 + 53333283600 = 612591^2 + 230940^2 .

It is not a de Polignac number, because 428601016881 - 25 = 428601016849 is a prime.

It is a super-2 number, since 2×4286010168812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428601016841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22689480 + ... + 22708361.

It is an arithmetic number, because the mean of its divisors is an integer number (51640045275).

Almost surely, 2428601016881 is an apocalyptic number.

It is an amenable number.

428601016881 is a deficient number, since it is larger than the sum of its proper divisors (191079526419).

428601016881 is a wasteful number, since it uses less digits than its factorization.

428601016881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45398896 (or 45398893 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 428601016881 in words is "four hundred twenty-eight billion, six hundred one million, sixteen thousand, eight hundred eighty-one".

Divisors: 1 3 9 1049 3147 9441 45397841 136193523 408580569 47622335209 142867005627 428601016881