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42585000177 = 361232704919
BaseRepresentation
bin100111101010010000…
…111000100011110001
311001220211012011002210
4213222100320203301
51144203230001202
631321400202333
73035203346316
oct475220704361
9131824164083
1042585000177
1117073138a25
1283057693a9
1340287a2c75
1420bda26d0d
151193902c6c
hex9ea4388f1

42585000177 has 8 divisors (see below), whose sum is σ = 57710820160. Its totient is φ = 27924590160.

The previous prime is 42585000131. The next prime is 42585000179. The reversal of 42585000177 is 77100058524.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42585000177 - 215 = 42584967409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42585000179) 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 7 ways as a sum of consecutive naturals, for example, 116352277 + ... + 116352642.

It is an arithmetic number, because the mean of its divisors is an integer number (7213852520).

Almost surely, 242585000177 is an apocalyptic number.

It is an amenable number.

42585000177 is a deficient number, since it is larger than the sum of its proper divisors (15125819983).

42585000177 is a wasteful number, since it uses less digits than its factorization.

42585000177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232704983.

The product of its (nonzero) digits is 78400, while the sum is 39.

The spelling of 42585000177 in words is "forty-two billion, five hundred eighty-five million, one hundred seventy-seven", and thus it is an aban number.

Divisors: 1 3 61 183 232704919 698114757 14195000059 42585000177