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28228011520257 = 3220295581276977
BaseRepresentation
bin1100110101100010110001…
…00110010111000100000001
310200221120102122202020222200
412122301120212113010001
512144441431422122012
6140011434112223413
75642256304003023
oct632613046270401
9120846378666880
1028228011520257
118aa348366720a
1231ba93bb3ab69
131299b75619603
146d8358cca013
1533e41e5103dc
hex19ac58997101

28228011520257 has 24 divisors (see below), whose sum is σ = 40801346662440. Its totient is φ = 18805961341440.

The previous prime is 28228011520229. The next prime is 28228011520309. The reversal of 28228011520257 is 75202511082282.

28228011520257 is a `hidden beast` number, since 2 + 8 + 2 + 280 + 115 + 2 + 0 + 257 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18557752552641 + 9670258967616 = 4307871^2 + 3109704^2 .

It is not a de Polignac number, because 28228011520257 - 210 = 28228011519233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28228011520217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101776153 + ... + 102053129.

It is an arithmetic number, because the mean of its divisors is an integer number (1700056110935).

Almost surely, 228228011520257 is an apocalyptic number.

It is an amenable number.

28228011520257 is a deficient number, since it is larger than the sum of its proper divisors (12573335142183).

28228011520257 is a wasteful number, since it uses less digits than its factorization.

28228011520257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284593 (or 284590 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 28228011520257 in words is "twenty-eight trillion, two hundred twenty-eight billion, eleven million, five hundred twenty thousand, two hundred fifty-seven".

Divisors: 1 3 9 2029 5581 6087 16743 18261 50229 276977 830931 2492793 11323849 33971547 101914641 561986333 1545808637 1685958999 4637425911 5057876997 13912277733 3136445724473 9409337173419 28228011520257