t = db.capped_max;
sz = 1024 * 16;

t.drop();
db.createCollection( t.getName() , {capped: true, size: sz } );
assert.lt( Math.pow( 2, 62 ), t.stats().max.floatApprox )

t.drop();
db.createCollection( t.getName() , {capped: true, size: sz, max: 123456 } );
assert.eq( 123456, t.stats().max );

// create a collection with the max possible doc cap (2^31-2 docs)
t.drop();
mm = Math.pow(2, 31) - 2;
db.createCollection( t.getName() , {capped: true, size: sz, max: mm } );
assert.eq( mm, t.stats().max );

// create a collection with the 'no max' value (2^31-1 docs)
t.drop();
mm = Math.pow(2, 31) - 1;
db.createCollection( t.getName() , {capped: true, size: sz, max: mm } );
assert.eq(NumberLong("9223372036854775807"), t.stats().max );

t.drop();
res = db.createCollection( t.getName() , {capped: true, size: sz, max: Math.pow(2, 31) } );
assert.eq( 0, res.ok, tojson(res) );
assert.eq( 0, t.stats().ok )