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982549945289 = 11531998469017
BaseRepresentation
bin11100100110001001000…
…10100101101111001001
310110221010121001210120102
432103010202211233021
5112044230241222124
62031213251135145
7130662334506653
oct16230442455711
93427117053512
10982549945289
11349773913580
1213a511ba44b5
1371866c89893
14357aca936d3
151a8597deaae
hexe4c48a5bc9

982549945289 has 16 divisors (see below), whose sum is σ = 1097584732800. Its totient is φ = 871969887360.

The previous prime is 982549945253. The next prime is 982549945291.

982549945289 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 982549945289 - 224 = 982533168073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (982549945219) 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 15 ways as a sum of consecutive naturals, for example, 4118492 + ... + 4350525.

It is an arithmetic number, because the mean of its divisors is an integer number (68599045800).

Almost surely, 2982549945289 is an apocalyptic number.

It is an amenable number.

982549945289 is a deficient number, since it is larger than the sum of its proper divisors (115034787511).

982549945289 is a wasteful number, since it uses less digits than its factorization.

982549945289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8469280.

The product of its digits is 671846400, while the sum is 74.

The spelling of 982549945289 in words is "nine hundred eighty-two billion, five hundred forty-nine million, nine hundred forty-five thousand, two hundred eighty-nine".

Divisors: 1 11 53 199 583 2189 10547 116017 8469017 93159187 448857901 1685334383 4937436911 18538678213 89322722299 982549945289