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42584172075 = 3252189262987
BaseRepresentation
bin100111101010001101…
…101110011000101011
311001220202122002011100
4213222031232120223
51144203022001300
631321330332443
73035163330114
oct475215563053
9131822562140
1042584172075
1117072722845
12830542a123
134028573073
1420bd88d20b
1511937dc700
hex9ea36e62b

42584172075 has 18 divisors (see below), whose sum is σ = 76272984164. Its totient is φ = 22711558320.

The previous prime is 42584172031. The next prime is 42584172107. The reversal of 42584172075 is 57027148524.

42584172075 is a `hidden beast` number, since 4 + 25 + 8 + 417 + 207 + 5 = 666.

It is not a de Polignac number, because 42584172075 - 213 = 42584163883 is a prime.

It is a super-2 number, since 2×425841720752 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42584172075.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 94631269 + ... + 94631718.

Almost surely, 242584172075 is an apocalyptic number.

42584172075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42584172075 is a deficient number, since it is larger than the sum of its proper divisors (33688812089).

42584172075 is a wasteful number, since it uses less digits than its factorization.

42584172075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189263003 (or 189262995 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 42584172075 in words is "forty-two billion, five hundred eighty-four million, one hundred seventy-two thousand, seventy-five".

Divisors: 1 3 5 9 15 25 45 75 225 189262987 567788961 946314935 1703366883 2838944805 4731574675 8516834415 14194724025 42584172075