Search a number
-
+
220416545399999 = 13414338632489567
BaseRepresentation
bin110010000111011110111001…
…111001000010010010111111
31001220102121122000202100011112
4302013132321321002102333
5212342301041110244444
62100441544005112235
764266366320663264
oct6207367171022277
91056377560670145
10220416545399999
116426014a6a3683
122087a2530b867b
1395cb263956960
143c603095c926b
151a7381814969e
hexc877b9e424bf

220416545399999 has 32 divisors (see below), whose sum is σ = 248880639135744. Its totient is φ = 193832430462720.

The previous prime is 220416545399993. The next prime is 220416545400001. The reversal of 220416545399999 is 999993545614022.

It is a cyclic number.

It is not a de Polignac number, because 220416545399999 - 224 = 220416528622783 is a prime.

It is a super-3 number, since 3×2204165453999993 (a number of 44 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (77) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220416545399993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87291314 + ... + 89780880.

It is an arithmetic number, because the mean of its divisors is an integer number (7777519972992).

Almost surely, 2220416545399999 is an apocalyptic number.

220416545399999 is a deficient number, since it is larger than the sum of its proper divisors (28464093735745).

220416545399999 is a wasteful number, since it uses less digits than its factorization.

220416545399999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493527.

The product of its (nonzero) digits is 1700611200, while the sum is 77.

The spelling of 220416545399999 in words is "two hundred twenty trillion, four hundred sixteen billion, five hundred forty-five million, three hundred ninety-nine thousand, nine hundred ninety-nine".

Divisors: 1 13 41 43 533 559 1763 3863 22919 50219 158383 166109 2058979 2159417 2489567 6810469 32364371 88536097 102072247 107051381 1326939211 1391667953 4389106621 9617197321 57058386073 125023565173 394305090161 413539484803 5125966172093 5376013302439 16955118876923 220416545399999