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75241249137 = 333478030873
BaseRepresentation
bin100011000010010111…
…0100101100101110001
321012012200200111001000
41012010232211211301
52213043224433022
654322041032213
75302356031245
oct1060456454561
9235180614030
1075241249137
1129a007a612a
12126ba185669
1371312737c2
1438dab56425
151e5581d6ac
hex1184ba5971

75241249137 has 16 divisors (see below), whose sum is σ = 111789766080. Its totient is φ = 50016270816.

The previous prime is 75241249103. The next prime is 75241249177. The reversal of 75241249137 is 73194214257.

75241249137 is a `hidden beast` number, since 7 + 524 + 1 + 2 + 4 + 91 + 37 = 666.

It is not a de Polignac number, because 75241249137 - 27 = 75241249009 is a prime.

It is a super-2 number, since 2×752412491372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75241249092 and 75241249101.

It is not an unprimeable number, because it can be changed into a prime (75241249177) 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 15 ways as a sum of consecutive naturals, for example, 4006068 + ... + 4024805.

It is an arithmetic number, because the mean of its divisors is an integer number (6986860380).

Almost surely, 275241249137 is an apocalyptic number.

It is an amenable number.

75241249137 is a deficient number, since it is larger than the sum of its proper divisors (36548516943).

75241249137 is a wasteful number, since it uses less digits than its factorization.

75241249137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8031229 (or 8031223 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 75241249137 in words is "seventy-five billion, two hundred forty-one million, two hundred forty-nine thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 347 1041 3123 9369 8030873 24092619 72277857 216833571 2786712931 8360138793 25080416379 75241249137