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289180942349 = 137124412753
BaseRepresentation
bin1000011010101001000…
…01110000000000001101
31000122102111221221202012
410031110201300000031
514214220310123344
6340503051111005
726615113311245
oct4152441600015
91018374857665
10289180942349
11101706115142
1248066142465
1321367548050
14ddd42d2b25
1577c796229e
hex435487000d

289180942349 has 12 divisors (see below), whose sum is σ = 315873756828. Its totient is φ = 263176529280.

The previous prime is 289180942333. The next prime is 289180942363. The reversal of 289180942349 is 943249081982.

It can be written as a sum of positive squares in 2 ways, for example, as 115661208100 + 173519734249 = 340090^2 + 416557^2 .

It is not a de Polignac number, because 289180942349 - 24 = 289180942333 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289180942249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2140844 + ... + 2271909.

It is an arithmetic number, because the mean of its divisors is an integer number (26322813069).

Almost surely, 2289180942349 is an apocalyptic number.

It is an amenable number.

289180942349 is a deficient number, since it is larger than the sum of its proper divisors (26692814479).

289180942349 is an equidigital number, since it uses as much as digits as its factorization.

289180942349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412908 (or 4412837 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 59.

The spelling of 289180942349 in words is "two hundred eighty-nine billion, one hundred eighty million, nine hundred forty-two thousand, three hundred forty-nine".

Divisors: 1 13 71 923 5041 65533 4412753 57365789 313305463 4072971019 22244687873 289180942349