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73872427837 = 139758582417
BaseRepresentation
bin100010011001100100…
…0111100101100111101
321001200022000011012211
41010303020330230331
52202242320142322
653534142300421
75223425163505
oct1046310745475
9231608004184
1073872427837
112936907245a
1212397887711
136c737c0680
14380b03ca05
151dc5586b77
hex113323cb3d

73872427837 has 8 divisors (see below), whose sum is σ = 80375077496. Its totient is φ = 67486943232.

The previous prime is 73872427819. The next prime is 73872427841.

73872427837 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 334377796 + 73538050041 = 18286^2 + 271179^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 73872427837 - 211 = 73872425789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73872427037) 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 7 ways as a sum of consecutive naturals, for example, 29289948 + ... + 29292469.

It is an arithmetic number, because the mean of its divisors is an integer number (10046884687).

Almost surely, 273872427837 is an apocalyptic number.

It is an amenable number.

73872427837 is a deficient number, since it is larger than the sum of its proper divisors (6502649659).

73872427837 is a wasteful number, since it uses less digits than its factorization.

73872427837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58582527.

The product of its digits is 22127616, while the sum is 58.

The spelling of 73872427837 in words is "seventy-three billion, eight hundred seventy-two million, four hundred twenty-seven thousand, eight hundred thirty-seven".

Divisors: 1 13 97 1261 58582417 761571421 5682494449 73872427837