Search a number
-
+
414778066671 = 367719723089
BaseRepresentation
bin1100000100100101011…
…00110000011011101111
31110122121121002221101110
412002102230300123233
523243431141113141
6514314005243103
741652405252333
oct6022254603357
91418547087343
10414778066671
1114a9a7450641
1268478403493
13301621c09a7
141610ab357c3
15abc8ebee16
hex6092b306ef

414778066671 has 48 divisors (see below), whose sum is σ = 575311921920. Its totient is φ = 265700413440.

The previous prime is 414778066639. The next prime is 414778066691. The reversal of 414778066671 is 176660877414.

It is not a de Polignac number, because 414778066671 - 25 = 414778066639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414778066691) 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 47 ways as a sum of consecutive naturals, for example, 134274295 + ... + 134277383.

It is an arithmetic number, because the mean of its divisors is an integer number (11985665040).

Almost surely, 2414778066671 is an apocalyptic number.

414778066671 is a deficient number, since it is larger than the sum of its proper divisors (160533855249).

414778066671 is an equidigital number, since it uses as much as digits as its factorization.

414778066671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The spelling of 414778066671 in words is "four hundred fourteen billion, seven hundred seventy-eight million, sixty-six thousand, six hundred seventy-one".

Divisors: 1 3 67 71 97 201 213 291 3089 4757 6499 6887 9267 9409 14271 19497 20661 28227 206963 219319 299633 461429 620889 630403 657957 668039 898899 1384287 1891209 2004117 14694373 20075411 21273943 29064401 44083119 44758613 60226233 63821829 87193203 134275839 1425354181 1947314867 2063572471 4276062543 5841944601 6190717413 138259355557 414778066671