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1085779729 is a prime number
BaseRepresentation
bin100000010110111…
…1010111100010001
32210200002022210001
41000231322330101
54210424422404
6255424010001
735622655366
oct10055727421
92720068701
101085779729
11507992421
12263760901
13143c42218
14a42ba46d
15654c77a4
hex40b7af11

1085779729 has 2 divisors, whose sum is σ = 1085779730. Its totient is φ = 1085779728.

The previous prime is 1085779727. The next prime is 1085779733. The reversal of 1085779729 is 9279775801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 836771329 + 249008400 = 28927^2 + 15780^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085779729 - 21 = 1085779727 is a prime.

Together with 1085779727, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1085779729.

It is not a weakly prime, because it can be changed into another prime (1085779727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542889864 + 542889865.

It is an arithmetic number, because the mean of its divisors is an integer number (542889865).

Almost surely, 21085779729 is an apocalyptic number.

It is an amenable number.

1085779729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085779729 is an equidigital number, since it uses as much as digits as its factorization.

1085779729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222640, while the sum is 55.

The square root of 1085779729 is about 32951.1718911483. The cubic root of 1085779729 is about 1027.8125345781.

The spelling of 1085779729 in words is "one billion, eighty-five million, seven hundred seventy-nine thousand, seven hundred twenty-nine".