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10931329809 = 34116172
BaseRepresentation
bin10100010111000111…
…01101101100010001
31001012211020002110000
422023203231230101
5134341410023214
65004412200213
7534613525131
oct121343555421
931184202400
1010931329809
1146aa4a5974
122150a69069
1310529331ba
14759b16ac1
1543ea27809
hex28b8edb11

10931329809 has 15 divisors (see below), whose sum is σ = 16330923147. Its totient is φ = 7286925888.

The previous prime is 10931329769. The next prime is 10931329811. The reversal of 10931329809 is 90892313901.

It is a happy number.

The square root of 10931329809 is 104553.

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

10931329809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3761982225 + 7169347584 = 61335^2 + 84672^2 .

It is not a de Polignac number, because 10931329809 - 219 = 10930805521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10931329819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 935169 + ... + 946785.

Almost surely, 210931329809 is an apocalyptic number.

10931329809 is the 104553-rd square number.

10931329809 is the 52277-th centered octagonal number.

It is an amenable number.

10931329809 is a deficient number, since it is larger than the sum of its proper divisors (5399593338).

10931329809 is an frugal number, since it uses more digits than its factorization.

10931329809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23246 (or 11620 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 10931329809 in words is "ten billion, nine hundred thirty-one million, three hundred twenty-nine thousand, eight hundred nine".

Divisors: 1 3 9 27 81 11617 34851 104553 313659 940977 134954689 404864067 1214592201 3643776603 10931329809