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15332135329 = 76194
BaseRepresentation
bin11100100011101110…
…11101000110100001
31110120112010011201001
432101313131012201
5222400011312304
611013220512001
71051642000000
oct162167350641
943515104631
1015332135329
116558655225
122b7a84b601
1315a45b8a34
14a563a0c37
155eb06eda4
hex391ddd1a1

15332135329 has 35 divisors (see below), whose sum is σ = 18881210177. Its totient is φ = 12450155004.

The previous prime is 15332135327. The next prime is 15332135333. The reversal of 15332135329 is 92353123351.

The square root of 15332135329 is 123823.

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

It is not a de Polignac number, because 15332135329 - 21 = 15332135327 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15332135327) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 806954482 + ... + 806954500.

Almost surely, 215332135329 is an apocalyptic number.

15332135329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

15332135329 is the 123823-rd square number.

15332135329 is the 61912-nd centered octagonal number.

It is an amenable number.

15332135329 is a deficient number, since it is larger than the sum of its proper divisors (3549074848).

15332135329 is an frugal number, since it uses more digits than its factorization.

15332135329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 26 counting only the distinct ones).

The product of its digits is 72900, while the sum is 37.

The spelling of 15332135329 in words is "fifteen billion, three hundred thirty-two million, one hundred thirty-five thousand, three hundred twenty-nine".

Divisors: 1 7 19 49 133 343 361 931 2401 2527 6517 6859 16807 17689 45619 48013 117649 123823 130321 319333 336091 866761 912247 2235331 2352637 6067327 6385729 16468459 42471289 44700103 115279213 312900721 806954491 2190305047 15332135329