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2142759569 = 29233337941
BaseRepresentation
bin111111110110111…
…1110101010010001
312112022222110112112
41333231332222101
513342021301234
6552342435105
7104046104306
oct17755765221
95468873475
102142759569
119aa593a85
124b9732a95
13281c0c792
1416481b0ad
15c81b1ace
hex7fb7ea91

2142759569 has 16 divisors (see below), whose sum is σ = 2235139920. Its totient is φ = 2051696640.

The previous prime is 2142759551. The next prime is 2142759601. The reversal of 2142759569 is 9659572412.

It can be written as a sum of positive squares in 8 ways, for example, as 89491600 + 2053267969 = 9460^2 + 45313^2 .

It is a de Polignac number, because none of the positive numbers 2k-2142759569 is a prime.

It is a super-2 number, since 2×21427595692 = 9182837141082131522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2142759539) 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, 2276639 + ... + 2277579.

It is an arithmetic number, because the mean of its divisors is an integer number (139696245).

Almost surely, 22142759569 is an apocalyptic number.

2142759569 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2142759569 is a deficient number, since it is larger than the sum of its proper divisors (92380351).

2142759569 is a wasteful number, since it uses less digits than its factorization.

2142759569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540.

The product of its digits is 1360800, while the sum is 50.

The square root of 2142759569 is about 46289.9510585181. The cubic root of 2142759569 is about 1289.2124209286.

The spelling of 2142759569 in words is "two billion, one hundred forty-two million, seven hundred fifty-nine thousand, five hundred sixty-nine".

Divisors: 1 29 233 337 941 6757 9773 27289 78521 219253 317117 2277109 6358337 9196393 73888261 2142759569