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14437782821 = 7211211126949
BaseRepresentation
bin11010111001000111…
…10001010100100101
31101021012020100201002
431130203301110211
5214032033022241
610344351443045
71020532062200
oct153443612445
941235210632
1014437782821
11613982aa20
12296b226485
13149121ba77
149ad6b4937
155977ab89b
hex35c8f1525

14437782821 has 24 divisors (see below), whose sum is σ = 18408765600. Its totient is φ = 11196813600.

The previous prime is 14437782809. The next prime is 14437782857. The reversal of 14437782821 is 12828773441.

14437782821 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 14437782821 - 214 = 14437766437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14437782881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50255 + ... + 177203.

It is an arithmetic number, because the mean of its divisors is an integer number (767031900).

Almost surely, 214437782821 is an apocalyptic number.

14437782821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14437782821 is a deficient number, since it is larger than the sum of its proper divisors (3970982779).

14437782821 is a wasteful number, since it uses less digits than its factorization.

14437782821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127185 (or 127178 counting only the distinct ones).

The product of its digits is 602112, while the sum is 47.

The spelling of 14437782821 in words is "fourteen billion, four hundred thirty-seven million, seven hundred eighty-two thousand, eight hundred twenty-one".

Divisors: 1 7 11 49 77 211 539 1477 2321 10339 16247 113729 126949 888643 1396439 6220501 9775073 26786239 68425511 187503673 294648629 1312525711 2062540403 14437782821