Search a number
-
+
214090563771 = 32721925550849
BaseRepresentation
bin1100011101100011001…
…0101100000010111011
3202110121100011111012200
43013120302230002323
512001424141020041
6242203555441243
721316235523600
oct3073062540273
9673540144180
10214090563771
11828825a6327
12355aa5b6223
131725b619786
14a50d6106a7
1558804e61b6
hex31d8cac0bb

214090563771 has 36 divisors (see below), whose sum is σ = 378663597000. Its totient is φ = 115898646528.

The previous prime is 214090563721. The next prime is 214090563773. The reversal of 214090563771 is 177365090412.

214090563771 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 9 + 0 + 5 + 637 + 7 + 1 = 666.

214090563771 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214090563771 - 29 = 214090563259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214090563773) 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 35 ways as a sum of consecutive naturals, for example, 12767046 + ... + 12783803.

It is an arithmetic number, because the mean of its divisors is an integer number (10518433250).

Almost surely, 2214090563771 is an apocalyptic number.

214090563771 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214090563771 is a deficient number, since it is larger than the sum of its proper divisors (164573033229).

214090563771 is a wasteful number, since it uses less digits than its factorization.

214090563771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25550888 (or 25550878 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 214090563771 in words is "two hundred fourteen billion, ninety million, five hundred sixty-three thousand, seven hundred seventy-one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 931 1197 2793 8379 25550849 76652547 178855943 229957641 485466131 536567829 1251991601 1456398393 1609703487 3398262917 3755974803 4369195179 10194788751 11267924409 23787840419 30584366253 71363521257 214090563771