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75344844357 = 3312721972833
BaseRepresentation
bin100011000101011100…
…1110001011001000101
321012110220121122222000
41012022321301121011
52213301240004412
654340221255513
75305054416156
oct1061271613105
9235426548860
1075344844357
1129a54222812
1212728a04599
137149875853
14390a80192d
151e5e9834dc
hex118ae71645

75344844357 has 16 divisors (see below), whose sum is σ = 112500910080. Its totient is φ = 49834382976.

The previous prime is 75344844343. The next prime is 75344844391.

75344844357 is a `hidden beast` number, since 75 + 3 + 4 + 484 + 43 + 57 = 666.

75344844357 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75344844357 - 210 = 75344843333 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75344845357) 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, 10982988 + ... + 10989845.

It is an arithmetic number, because the mean of its divisors is an integer number (7031306880).

Almost surely, 275344844357 is an apocalyptic number.

It is an amenable number.

75344844357 is a deficient number, since it is larger than the sum of its proper divisors (37156065723).

75344844357 is a wasteful number, since it uses less digits than its factorization.

75344844357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21972969 (or 21972963 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 75344844357 in words is "seventy-five billion, three hundred forty-four million, eight hundred forty-four thousand, three hundred fifty-seven".

Divisors: 1 3 9 27 127 381 1143 3429 21972833 65918499 197755497 593266491 2790549791 8371649373 25114948119 75344844357