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13427000929 = 371939531973
BaseRepresentation
bin11001000000100111…
…11100011001100001
31021122202021022121201
430200103330121201
5204444303012204
610100203121201
7653506424206
oct144023743141
937582238551
1013427000929
115770212591
122728813201
13135c9a8184
1491535bcad
15538b9a9a4
hex3204fc661

13427000929 has 16 divisors (see below), whose sum is σ = 13882920912. Its totient is φ = 12976201728.

The previous prime is 13427000893. The next prime is 13427000941. The reversal of 13427000929 is 92900072431.

It can be written as a sum of positive squares in 8 ways, for example, as 137522529 + 13289478400 = 11727^2 + 115280^2 .

It is a cyclic number.

It is not a de Polignac number, because 13427000929 - 211 = 13426998881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13427900929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6804387 + ... + 6806359.

It is an arithmetic number, because the mean of its divisors is an integer number (867682557).

It is a Poulet number, since it divides 213427000928-1.

Almost surely, 213427000929 is an apocalyptic number.

It is an amenable number.

13427000929 is a deficient number, since it is larger than the sum of its proper divisors (455919983).

13427000929 is a wasteful number, since it uses less digits than its factorization.

13427000929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 13427000929 in words is "thirteen billion, four hundred twenty-seven million, nine hundred twenty-nine", and thus it is an aban number.

Divisors: 1 37 193 953 1973 7141 35261 73001 183929 380789 1880269 6805373 14089193 69569953 362891917 13427000929