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28112820417 = 351173144073
BaseRepresentation
bin11010001011101001…
…111001100011000001
32200120020020020200000
4122023221321203001
5430033340223132
620525335150213
72013443013363
oct321351714301
980506206600
1028112820417
1110a16a55090
125546b15369
1328603ccaa6
14150995ad33
15ae80ee87c
hex68ba798c1

28112820417 has 48 divisors (see below), whose sum is σ = 46569327168. Its totient is φ = 16804558080.

The previous prime is 28112820401. The next prime is 28112820467. The reversal of 28112820417 is 71402821182.

It is a happy number.

It is not a de Polignac number, because 28112820417 - 24 = 28112820401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28112820467) 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 47 ways as a sum of consecutive naturals, for example, 123093 + ... + 267165.

It is an arithmetic number, because the mean of its divisors is an integer number (970194316).

Almost surely, 228112820417 is an apocalyptic number.

28112820417 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

28112820417 is a deficient number, since it is larger than the sum of its proper divisors (18456506751).

28112820417 is a wasteful number, since it uses less digits than its factorization.

28112820417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144172 (or 144160 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 28112820417 in words is "twenty-eight billion, one hundred twelve million, eight hundred twenty thousand, four hundred seventeen".

Divisors: 1 3 9 11 27 33 73 81 99 219 243 297 657 803 891 1971 2409 2673 5913 7227 17739 21681 65043 144073 195129 432219 1296657 1584803 3889971 4754409 10517329 11669913 14263227 31551987 35009739 42789681 94655961 115690619 128369043 283967883 347071857 385107129 851903649 1041215571 2555710947 3123646713 9370940139 28112820417