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58843489244401 = 372151213732
BaseRepresentation
bin11010110000100100100010…
…10001100001010011110001
321201100101022221100220222101
431120102101101201103301
530203042431221310101
6325052154211140401
715252205342625401
oct1530222121412361
9251311287326871
1058843489244401
11178274246a5014
1267243195a4701
1326aabc01b7bc4
14107607bd78801
156c09c2d84401
hex3584914614f1

58843489244401 has 27 divisors (see below), whose sum is σ = 60924371026113. Its totient is φ = 56832541768800.

The previous prime is 58843489244341. The next prime is 58843489244429. The reversal of 58843489244401 is 10444298434885.

It is a happy number.

The square root of 58843489244401 is 7670951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 48244818330801 + 10598670913600 = 6945849^2 + 3255560^2 .

It is a de Polignac number, because none of the positive numbers 2k-58843489244401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58843489244201) 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 26 ways as a sum of consecutive naturals, for example, 42857602551 + ... + 42857603923.

Almost surely, 258843489244401 is an apocalyptic number.

58843489244401 is the 7670951-st square number.

58843489244401 is the 3835476-th centered octagonal number.

It is an amenable number.

58843489244401 is a deficient number, since it is larger than the sum of its proper divisors (2080881781712).

58843489244401 is an frugal number, since it uses more digits than its factorization.

58843489244401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 64.

The spelling of 58843489244401 in words is "fifty-eight trillion, eight hundred forty-three billion, four hundred eighty-nine million, two hundred forty-four thousand, four hundred one".

Divisors: 1 37 151 1369 1373 5587 22801 50801 206719 207323 843637 1879637 1885129 7670951 31214569 31305773 69749773 283825187 284654479 1158313601 2580741601 10532215723 42857603237 42982826329 389691981751 1590364574173 58843489244401