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29205826669 = 229457279073
BaseRepresentation
bin11011001100110011…
…011000110001101101
32210101101220201101001
4123030303120301231
5434303142423134
621230022120301
72052514300465
oct331463306155
983341821331
1029205826669
1111427a22938
1257b0b80091
1329a59a2356
1415b0b98ba5
15b5e053414
hex6cccd8c6d

29205826669 has 8 divisors (see below), whose sum is σ = 29397655160. Its totient is φ = 29014557696.

The previous prime is 29205826631. The next prime is 29205826747. The reversal of 29205826669 is 96662850292.

It can be written as a sum of positive squares in 4 ways, for example, as 25715971044 + 3489855625 = 160362^2 + 59075^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(29205826669) divides (29205826669-1)5.

It is a cyclic number.

It is not a de Polignac number, because 29205826669 - 27 = 29205826541 is a prime.

It is a super-2 number, since 2×292058266692 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29205626669) 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 7 ways as a sum of consecutive naturals, for example, 34884 + ... + 244189.

It is an arithmetic number, because the mean of its divisors is an integer number (3674706895).

It is a Poulet number, since it divides 229205826668-1.

Almost surely, 229205826669 is an apocalyptic number.

29205826669 is the 98668-th hex number.

It is an amenable number.

29205826669 is a deficient number, since it is larger than the sum of its proper divisors (191828491).

29205826669 is a wasteful number, since it uses less digits than its factorization.

29205826669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279759.

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 29205826669 in words is "twenty-nine billion, two hundred five million, eight hundred twenty-six thousand, six hundred sixty-nine".

Divisors: 1 229 457 104653 279073 63907717 127536361 29205826669