Search a number
-
+
41782664063 = 7311027318743
BaseRepresentation
bin100110111010011100…
…001101101101111111
310222211220110020212102
4212322130031231333
51141032330222223
631110015255315
73006261533060
oct467234155577
9128756406772
1041782664063
11167a1251a28
128120b1a53b
133c2b4b297a
142045250567
151148268928
hex9ba70db7f

41782664063 has 16 divisors (see below), whose sum is σ = 49299419136. Its totient is φ = 34653208320.

The previous prime is 41782663957. The next prime is 41782664069. The reversal of 41782664063 is 36046628714.

It is a cyclic number.

It is not a de Polignac number, because 41782664063 - 232 = 37487696767 is a prime.

It is a Smith number, since the sum of its digits (47) 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 junction number, because it is equal to n+sod(n) for n = 41782663999 and 41782664017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41782664069) 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, 2219870 + ... + 2238612.

It is an arithmetic number, because the mean of its divisors is an integer number (3081213696).

Almost surely, 241782664063 is an apocalyptic number.

41782664063 is a deficient number, since it is larger than the sum of its proper divisors (7516755073).

41782664063 is a wasteful number, since it uses less digits than its factorization.

41782664063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29054.

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 41782664063 in words is "forty-one billion, seven hundred eighty-two million, six hundred sixty-four thousand, sixty-three".

Divisors: 1 7 31 217 10273 18743 71911 131201 318463 581033 2229241 4067231 192546839 1347827873 5968952009 41782664063