Search a number
-
+
966329089013 = 17537314691881
BaseRepresentation
bin11100000111111011011…
…00111011101111110101
310102101021010122220220202
432003331230323233311
5111313020221322023
62015531522010245
7126546351505541
oct16037554735765
93371233586822
10966329089013
113428aa640132
121373457a6985
1370180526282
1434ab0670a21
151a20a720128
hexe0fdb3bbf5

966329089013 has 16 divisors (see below), whose sum is σ = 1056757688496. Its totient is φ = 880102379520.

The previous prime is 966329089009. The next prime is 966329089021. The reversal of 966329089013 is 310980923669.

It can be written as a sum of positive squares in 8 ways, for example, as 123718917169 + 842610171844 = 351737^2 + 917938^2 .

It is a cyclic number.

It is not a de Polignac number, because 966329089013 - 22 = 966329089009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 966329089013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966329089513) 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, 7280168 + ... + 7411713.

It is an arithmetic number, because the mean of its divisors is an integer number (66047355531).

Almost surely, 2966329089013 is an apocalyptic number.

It is an amenable number.

966329089013 is a deficient number, since it is larger than the sum of its proper divisors (90428599483).

966329089013 is a wasteful number, since it uses less digits than its factorization.

966329089013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14692024.

The product of its (nonzero) digits is 3779136, while the sum is 56.

The spelling of 966329089013 in words is "nine hundred sixty-six billion, three hundred twenty-nine million, eighty-nine thousand, thirteen".

Divisors: 1 17 53 73 901 1241 3869 65773 14691881 249761977 778669693 1072507313 13237384781 18232624321 56842887589 966329089013