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29031729769 = 7210122412
BaseRepresentation
bin11011000010011011…
…010000101001101001
32202221021022200022201
4123002123100221221
5433424110323034
621200442420201
72045301426400
oct330233205151
982837280281
1029031729769
11113487222a9
125762801661
1329788b7333
1415959da637
15b4db14014
hex6c26d0a69

29031729769 has 27 divisors (see below), whose sum is σ = 34251406533. Its totient is φ = 24535728000.

The previous prime is 29031729721. The next prime is 29031729773. The reversal of 29031729769 is 96792713092.

The square root of 29031729769 is 170387.

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 16393473369 + 12638256400 = 128037^2 + 112420^2 .

It is not a de Polignac number, because 29031729769 - 217 = 29031598697 is a prime.

It is a super-2 number, since 2×290317297692 (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 (29031729569) 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, 120463489 + ... + 120463729.

Almost surely, 229031729769 is an apocalyptic number.

29031729769 is the 170387-th square number.

29031729769 is the 85194-th centered octagonal number.

It is an amenable number.

29031729769 is a deficient number, since it is larger than the sum of its proper divisors (5219676764).

29031729769 is an frugal number, since it uses more digits than its factorization.

29031729769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 55.

The spelling of 29031729769 in words is "twenty-nine billion, thirty-one million, seven hundred twenty-nine thousand, seven hundred sixty-nine".

Divisors: 1 7 49 101 241 707 1687 4949 10201 11809 24341 58081 71407 170387 406567 499849 1192709 2458441 2845969 5866181 17209087 41063267 120463609 287442869 592484281 4147389967 29031729769