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65542433424556 = 221117795111020447
BaseRepresentation
bin11101110011100010010010…
…11101100100010010101100
322121001210110212200200001211
432321301021131210102230
532042321400424041211
6351221440033444204
716543166412635254
oct1671611135442254
9277053425620054
1065542433424556
111997a431a86a80
127426690410664
132a7581803235a
1412283b0b50964
15789d98368e21
hex3b9c497644ac

65542433424556 has 48 divisors (see below), whose sum is σ = 132503518973952. Its totient is φ = 28036014624000.

The previous prime is 65542433424491. The next prime is 65542433424563.

It is a happy number.

65542433424556 is nontrivially palindromic in base 10.

65542433424556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 65542433424556.

It is an unprimeable number.

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, 437125 + ... + 11457571.

It is an arithmetic number, because the mean of its divisors is an integer number (2760489978624).

Almost surely, 265542433424556 is an apocalyptic number.

It is an amenable number.

65542433424556 is an abundant number, since it is smaller than the sum of its proper divisors (66961085549396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65542433424556 is a wasteful number, since it uses less digits than its factorization.

65542433424556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11028430 (or 11028428 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 58.

It can be divided in two parts, 6554243 and 3424556, that added together give a palindrome (9978799).

The spelling of 65542433424556 in words is "sixty-five trillion, five hundred forty-two billion, four hundred thirty-three million, four hundred twenty-four thousand, five hundred fifty-six".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 7951 15902 31804 87461 135167 174922 270334 349844 540668 1486837 2973674 5947348 11020447 22040894 44081788 121224917 187347599 242449834 374695198 484899668 749390396 2060823589 4121647178 8243294356 87623574097 175247148194 350494296388 963859315067 1489600759649 1927718630134 2979201519298 3855437260268 5958403038596 16385608356139 32771216712278 65542433424556