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58982693209441 = 4155718771376009
BaseRepresentation
bin11010110100100111110100…
…11110100000010101100001
321201211200122022012001001021
431122103322132200111201
530212333023430200231
6325240135235205441
715265234060044151
oct1532237236402541
9251750568161037
1058982693209441
1117880468706321
1267472a8746881
1326bb075b849a1
14107cac5990761
156c441dc63811
hex35a4fa7a0561

58982693209441 has 16 divisors (see below), whose sum is σ = 60562063936080. Its totient is φ = 57410136017920.

The previous prime is 58982693209421. The next prime is 58982693209483. The reversal of 58982693209441 is 14490239628985.

58982693209441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17206235841600 + 41776457367841 = 4148040^2 + 6463471^2 .

It is a cyclic number.

It is not a de Polignac number, because 58982693209441 - 211 = 58982693207393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58982693209421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42177045 + ... + 43553053.

It is an arithmetic number, because the mean of its divisors is an integer number (3785128996005).

Almost surely, 258982693209441 is an apocalyptic number.

It is an amenable number.

58982693209441 is a deficient number, since it is larger than the sum of its proper divisors (1579370726639).

58982693209441 is a wasteful number, since it uses less digits than its factorization.

58982693209441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378484.

The product of its (nonzero) digits is 268738560, while the sum is 70.

The spelling of 58982693209441 in words is "fifty-eight trillion, nine hundred eighty-two billion, six hundred ninety-three million, two hundred nine thousand, four hundred forty-one".

Divisors: 1 41 557 1877 22837 76957 1045489 1376009 42865049 56416369 766437013 2582768893 31423917533 105893524613 1438602273401 58982693209441