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29442098569 = 1326721972
BaseRepresentation
bin11011011010111000…
…101100010110001001
32210222212111120111011
4123122320230112021
5440244134123234
621305302203521
72061413465032
oct333270542611
983885446434
1029442098569
111153932a474
1258581235a1
132a12919300
1415d42dda89
15b74b74b64
hex6dae2c589

29442098569 has 27 divisors (see below), whose sum is σ = 32529146517. Its totient is φ = 26635793184.

The previous prime is 29442098549. The next prime is 29442098579. The reversal of 29442098569 is 96589024492.

The square root of 29442098569 is 171587.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1832952969 + 27609145600 = 42813^2 + 166160^2 .

It is not a de Polignac number, because 29442098569 - 215 = 29442065801 is a prime.

It is a super-2 number, since 2×294420985692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29442098519) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149452179 + ... + 149452375.

Almost surely, 229442098569 is an apocalyptic number.

29442098569 is the 171587-th square number.

29442098569 is the 85794-th centered octagonal number.

It is an amenable number.

29442098569 is a deficient number, since it is larger than the sum of its proper divisors (3087047948).

29442098569 is an frugal number, since it uses more digits than its factorization.

29442098569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 29442098569 in words is "twenty-nine billion, four hundred forty-two million, ninety-eight thousand, five hundred sixty-nine".

Divisors: 1 13 67 169 197 871 2561 4489 11323 13199 33293 38809 58357 171587 504517 758641 884333 2230631 2600203 6558721 11496329 33802639 149452277 174213601 439434307 2264776813 29442098569